x^2-(61-x^2)=11

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Solution for x^2-(61-x^2)=11 equation:


Simplifying
x2 + -1(61 + -1x2) = 11
x2 + (61 * -1 + -1x2 * -1) = 11
x2 + (-61 + 1x2) = 11

Reorder the terms:
-61 + x2 + 1x2 = 11

Combine like terms: x2 + 1x2 = 2x2
-61 + 2x2 = 11

Solving
-61 + 2x2 = 11

Solving for variable 'x'.

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

Add '61' to each side of the equation.
-61 + 61 + 2x2 = 11 + 61

Combine like terms: -61 + 61 = 0
0 + 2x2 = 11 + 61
2x2 = 11 + 61

Combine like terms: 11 + 61 = 72
2x2 = 72

Divide each side by '2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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