2x^2-120=-22

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Solution for 2x^2-120=-22 equation:


Simplifying
2x2 + -120 = -22

Reorder the terms:
-120 + 2x2 = -22

Solving
-120 + 2x2 = -22

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + 2x2 = -22 + 120

Combine like terms: -120 + 120 = 0
0 + 2x2 = -22 + 120
2x2 = -22 + 120

Combine like terms: -22 + 120 = 98
2x2 = 98

Divide each side by '2'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}

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