20=2x^2-7

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Solution for 20=2x^2-7 equation: 


Simplifying
20 = 2x2 + -7

Reorder the terms:
20 = -7 + 2x2

Solving
20 = -7 + 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.
20 + -2x2 = -7 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + -2x2 = -7 + 0
20 + -2x2 = -7

Add '-20' to each side of the equation.
20 + -20 + -2x2 = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -2x2 = -7 + -20
-2x2 = -7 + -20

Combine like terms: -7 + -20 = -27
-2x2 = -27

Divide each side by '-2'.
x2 = 13.5

Simplifying
x2 = 13.5

Take the square root of each side:
x = {-3.674234614, 3.674234614}

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