How do you factor #16x^2=56x#?

Answer 1

#8x(2x-7)=0#

We will move the right-hand side to the left-hand side :

#16x^2 = 56x# <=> #16x^2 - 56x = 0#

After that, we have to find the common factor inside the subtraction :

#16x^2 = color(red)(2*2*2)*2*x*color(green)x# and #56x = color(red)(2*2*2)*7*color(green)x#
Then the common factor of #16x^2# and #56x# is #color(red)(2*2*2)*color(green)x = 8x# and so : #16x^2 = 8x * 2x# and #56x = 8x *7#
Therefore, the factorization of #16x^2-56x=0# is : #8x*2x - 8x*7 = 0# <=> #8x.(2x-7)=0#

And now you can solve this equation with the property of multiplication!

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To factor the equation (16x^2 = 56x), follow these steps:

  1. Begin by subtracting (56x) from both sides to set the equation equal to zero: (16x^2 - 56x = 0).
  2. Factor out the greatest common factor from the left side, which is (8x): (8x(2x - 7) = 0).
  3. Apply the zero product property, setting each factor equal to zero: (8x = 0) and (2x - 7 = 0).
  4. Solve for (x) in each equation: (x = 0) and (x = \frac{7}{2}).

The factored form of the equation is (8x(2x - 7) = 0), and the solutions for (x) are (x = 0) and (x = \frac{7}{2}).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7