-5x=x^2+2x

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Solution for -5x=x^2+2x equation: 


Simplifying
-5x = x2 + 2x

Reorder the terms:
-5x = 2x + x2

Solving
-5x = 2x + x2

Solving for variable 'x'.

Combine like terms: -5x + -2x = -7x
-7x + -1x2 = 2x + x2 + -2x + -1x2

Reorder the terms:
-7x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-7x + -1x2 = 0 + x2 + -1x2
-7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(7 + x) = 0

Ignore the factor -1.

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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