x^2+9=81-x^2

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Solution for x^2+9=81-x^2 equation:


Simplifying
x2 + 9 = 81 + -1x2

Reorder the terms:
9 + x2 = 81 + -1x2

Solving
9 + x2 = 81 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
9 + x2 + x2 = 81 + -1x2 + x2

Combine like terms: x2 + x2 = 2x2
9 + 2x2 = 81 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
9 + 2x2 = 81 + 0
9 + 2x2 = 81

Add '-9' to each side of the equation.
9 + -9 + 2x2 = 81 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = 81 + -9
2x2 = 81 + -9

Combine like terms: 81 + -9 = 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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