How do you solve #(x + 3) ( x - 1) = 32#?
Solve:
FOIL the left-hand side. https://tutor.hix.ai
Move all terms to the left-hand side.
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To solve the equation (x + 3) (x - 1) = 32:
- Expand the expression: x^2 + 3x - x - 3 = 32.
- Combine like terms: x^2 + 2x - 3 = 32.
- Rearrange the equation: x^2 + 2x - 3 - 32 = 0.
- Combine like terms again: x^2 + 2x - 35 = 0.
- Factor the quadratic equation: (x + 7)(x - 5) = 0.
- Set each factor equal to zero and solve for x: x + 7 = 0 => x = -7 x - 5 = 0 => x = 5.
So the solutions are x = -7 and x = 5.
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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.

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