2x^2+2x+5=13+2x

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Solution for 2x^2+2x+5=13+2x equation: 


Simplifying
2x2 + 2x + 5 = 13 + 2x

Reorder the terms:
5 + 2x + 2x2 = 13 + 2x

Add '-2x' to each side of the equation.
5 + 2x + -2x + 2x2 = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 0 + 2x2 = 13 + 2x + -2x
5 + 2x2 = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 2x2 = 13 + 0
5 + 2x2 = 13

Solving
5 + 2x2 = 13

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x2 = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 13 + -5
2x2 = 13 + -5

Combine like terms: 13 + -5 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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