x^2+(2x^2-2)=628

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Solution for x^2+(2x^2-2)=628 equation:


Simplifying
x2 + (2x2 + -2) = 628

Reorder the terms:
x2 + (-2 + 2x2) = 628

Remove parenthesis around (-2 + 2x2)
x2 + -2 + 2x2 = 628

Reorder the terms:
-2 + x2 + 2x2 = 628

Combine like terms: x2 + 2x2 = 3x2
-2 + 3x2 = 628

Solving
-2 + 3x2 = 628

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x2 = 628 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 628 + 2
3x2 = 628 + 2

Combine like terms: 628 + 2 = 630
3x2 = 630

Divide each side by '3'.
x2 = 210

Simplifying
x2 = 210

Take the square root of each side:
x = {-14.491376746, 14.491376746}

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