(x+7)(x-5)=

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Solution for (x+7)(x-5)= equation:


Simplifying
(x + 7)(x + -5) = 0

Reorder the terms:
(7 + x)(x + -5) = 0

Reorder the terms:
(7 + x)(-5 + x) = 0

Multiply (7 + x) * (-5 + x)
(7(-5 + x) + x(-5 + x)) = 0
((-5 * 7 + x * 7) + x(-5 + x)) = 0
((-35 + 7x) + x(-5 + x)) = 0
(-35 + 7x + (-5 * x + x * x)) = 0
(-35 + 7x + (-5x + x2)) = 0

Combine like terms: 7x + -5x = 2x
(-35 + 2x + x2) = 0

Solving
-35 + 2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-7, 5}

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