x^2+(x^2+2)=340

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Solution for x^2+(x^2+2)=340 equation: 


Simplifying
x2 + (x2 + 2) = 340

Reorder the terms:
x2 + (2 + x2) = 340

Remove parenthesis around (2 + x2)
x2 + 2 + x2 = 340

Reorder the terms:
2 + x2 + x2 = 340

Combine like terms: x2 + x2 = 2x2
2 + 2x2 = 340

Solving
2 + 2x2 = 340

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 + 2x2 = 340 + -2

Combine like terms: 2 + -2 = 0
0 + 2x2 = 340 + -2
2x2 = 340 + -2

Combine like terms: 340 + -2 = 338
2x2 = 338

Divide each side by '2'.
x2 = 169

Simplifying
x2 = 169

Take the square root of each side:
x = {-13, 13}

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