2x^2-7=13

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Solution for 2x^2-7=13 equation: 


Simplifying
2x2 + -7 = 13

Reorder the terms:
-7 + 2x2 = 13

Solving
-7 + 2x2 = 13

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 2x2 = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 2x2 = 13 + 7
2x2 = 13 + 7

Combine like terms: 13 + 7 = 20
2x2 = 20

Divide each side by '2'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}

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