x^2+7x+8=8

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Solution for x^2+7x+8=8 equation: 


Simplifying
x2 + 7x + 8 = 8

Reorder the terms:
8 + 7x + x2 = 8

Add '-8' to each side of the equation.
8 + 7x + -8 + x2 = 8 + -8

Reorder the terms:
8 + -8 + 7x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 7x + x2 = 8 + -8
7x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
7x + x2 = 0

Solving
7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
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 '(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, -7}

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