(x-5)*(x+8)=

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


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

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

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

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

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

Solving
-40 + 3x + x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {-8, 5}

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