x^2+2x+7=x+7

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


Simplifying
x2 + 2x + 7 = x + 7

Reorder the terms:
7 + 2x + x2 = x + 7

Reorder the terms:
7 + 2x + x2 = 7 + x

Add '-7' to each side of the equation.
7 + 2x + -7 + x2 = 7 + -7 + x

Reorder the terms:
7 + -7 + 2x + x2 = 7 + -7 + x

Combine like terms: 7 + -7 = 0
0 + 2x + x2 = 7 + -7 + x
2x + x2 = 7 + -7 + x

Combine like terms: 7 + -7 = 0
2x + x2 = 0 + x
2x + x2 = x

Solving
2x + x2 = x

Solving for variable 'x'.

Reorder the terms:
2x + -1x + x2 = x + -1x

Combine like terms: 2x + -1x = 1x
1x + x2 = x + -1x

Combine like terms: x + -1x = 0
1x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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