(x-8)(x+5)=

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Solution for (x-8)(x+5)= equation:


Simplifying
(x + -8)(x + 5) = 0

Reorder the terms:
(-8 + x)(x + 5) = 0

Reorder the terms:
(-8 + x)(5 + x) = 0

Multiply (-8 + x) * (5 + x)
(-8(5 + x) + x(5 + x)) = 0
((5 * -8 + x * -8) + x(5 + x)) = 0
((-40 + -8x) + x(5 + x)) = 0
(-40 + -8x + (5 * x + x * x)) = 0
(-40 + -8x + (5x + x2)) = 0

Combine like terms: -8x + 5x = -3x
(-40 + -3x + x2) = 0

Solving
-40 + -3x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(8 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-5, 8}

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