(2x^2-224)=32

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Solution for (2x^2-224)=32 equation:


Simplifying
(2x2 + -224) = 32

Reorder the terms:
(-224 + 2x2) = 32

Remove parenthesis around (-224 + 2x2)
-224 + 2x2 = 32

Solving
-224 + 2x2 = 32

Solving for variable 'x'.

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

Add '224' to each side of the equation.
-224 + 224 + 2x2 = 32 + 224

Combine like terms: -224 + 224 = 0
0 + 2x2 = 32 + 224
2x2 = 32 + 224

Combine like terms: 32 + 224 = 256
2x2 = 256

Divide each side by '2'.
x2 = 128

Simplifying
x2 = 128

Take the square root of each side:
x = {-11.313708499, 11.313708499}

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