(x+3)(x-8)=60

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Solution for (x+3)(x-8)=60 equation: 


Simplifying
(x + 3)(x + -8) = 60

Reorder the terms:
(3 + x)(x + -8) = 60

Reorder the terms:
(3 + x)(-8 + x) = 60

Multiply (3 + x) * (-8 + x)
(3(-8 + x) + x(-8 + x)) = 60
((-8 * 3 + x * 3) + x(-8 + x)) = 60
((-24 + 3x) + x(-8 + x)) = 60
(-24 + 3x + (-8 * x + x * x)) = 60
(-24 + 3x + (-8x + x2)) = 60

Combine like terms: 3x + -8x = -5x
(-24 + -5x + x2) = 60

Solving
-24 + -5x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
-24 + -60 + -5x + x2 = 60 + -60

Combine like terms: -24 + -60 = -84
-84 + -5x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-84 + -5x + x2 = 0

Factor a trinomial.
(-7 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-7, 12}

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