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

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Solution for 3(x+8)(x-7)=0 equation: 


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

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

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

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

Combine like terms: 8x + -7x = 1x
3(-56 + 1x + x2) = 0
(-56 * 3 + 1x * 3 + x2 * 3) = 0
(-168 + 3x + 3x2) = 0

Solving
-168 + 3x + 3x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 3.

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 '(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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