(x+4)(x-5)=36

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Solution for (x+4)(x-5)=36 equation: 


Simplifying
(x + 4)(x + -5) = 36

Reorder the terms:
(4 + x)(x + -5) = 36

Reorder the terms:
(4 + x)(-5 + x) = 36

Multiply (4 + x) * (-5 + x)
(4(-5 + x) + x(-5 + x)) = 36
((-5 * 4 + x * 4) + x(-5 + x)) = 36
((-20 + 4x) + x(-5 + x)) = 36
(-20 + 4x + (-5 * x + x * x)) = 36
(-20 + 4x + (-5x + x2)) = 36

Combine like terms: 4x + -5x = -1x
(-20 + -1x + x2) = 36

Solving
-20 + -1x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
-20 + -36 + -1x + x2 = 36 + -36

Combine like terms: -20 + -36 = -56
-56 + -1x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-56 + -1x + x2 = 0

Factor a trinomial.
(-7 + -1x)(8 + -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 '(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 = {-7, 8}

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