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

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


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

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

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

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

Combine like terms: 8x + 7x = 15x
x(56 + 15x + x2) = 0
(56 * x + 15x * x + x2 * x) = 0
(56x + 15x2 + x3) = 0

Solving
56x + 15x2 + x3 = 0

Solving for variable 'x'.

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

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {0, -8, -7}

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