5=2x^2-13

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


Simplifying
5 = 2x2 + -13

Reorder the terms:
5 = -13 + 2x2

Solving
5 = -13 + 2x2

Solving for variable 'x'.

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

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

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

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 = -18
-2x2 = -18

Divide each side by '-2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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