5x+110=x^2+5x

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Solution for 5x+110=x^2+5x equation: 


Simplifying
5x + 110 = x2 + 5x

Reorder the terms:
110 + 5x = x2 + 5x

Reorder the terms:
110 + 5x = 5x + x2

Add '-5x' to each side of the equation.
110 + 5x + -5x = 5x + -5x + x2

Combine like terms: 5x + -5x = 0
110 + 0 = 5x + -5x + x2
110 = 5x + -5x + x2

Combine like terms: 5x + -5x = 0
110 = 0 + x2
110 = x2

Solving
110 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
110 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
110 + -1x2 = 0

Add '-110' to each side of the equation.
110 + -110 + -1x2 = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1x2 = 0 + -110
-1x2 = 0 + -110

Combine like terms: 0 + -110 = -110
-1x2 = -110

Divide each side by '-1'.
x2 = 110

Simplifying
x2 = 110

Take the square root of each side:
x = {-10.488088482, 10.488088482}

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