-3(x-7)(x-8)=

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Solution for -3(x-7)(x-8)= equation: 


Simplifying
-3(x + -7)(x + -8) = 0

Reorder the terms:
-3(-7 + x)(x + -8) = 0

Reorder the terms:
-3(-7 + x)(-8 + x) = 0

Multiply (-7 + x) * (-8 + x)
-3(-7(-8 + x) + x(-8 + x)) = 0
-3((-8 * -7 + x * -7) + x(-8 + x)) = 0
-3((56 + -7x) + x(-8 + x)) = 0
-3(56 + -7x + (-8 * x + x * x)) = 0
-3(56 + -7x + (-8x + x2)) = 0

Combine like terms: -7x + -8x = -15x
-3(56 + -15x + x2) = 0
(56 * -3 + -15x * -3 + x2 * -3) = 0
(-168 + 45x + -3x2) = 0

Solving
-168 + 45x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + 15x + -1x2) = 0

Factor a trinomial.
3((-8 + x)(7 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8

Subproblem 2
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
Solution
x = {8, 7}

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