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How do you factor and solve # x^2 +6x=-9#?

Answer 1

Nathan Axel

#x = -3#

#x^2 +6x +9=0#

Find factors of 9 which add up to 6. The signs are the same, both +.

#3xx3 = 9 and 3+3 = 6#

#(x+3)(x+3) = 0#

Both brackets are the same, so there is only one solution.

#x = -3#

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Answer 2

Isaiah Anthony

To factor and solve ( x^2 + 6x = -9 ), follow these steps:

Rewrite the equation in standard form: ( x^2 + 6x + 9 = 0 ).
Factor the quadratic expression: ( (x + 3)^2 = 0 ).
Take the square root of both sides: ( x + 3 = 0 ).
Solve for ( x ): ( x = -3 ).

Therefore, the solution to the equation ( x^2 + 6x = -9 ) is ( x = -3 ).

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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.