x^2+x^2+9=89

Solution for x^2+x^2+9=89 equation:

Simplifying
x2 + x2 + 9 = 89

Reorder the terms:
9 + x2 + x2 = 89

Combine like terms: x2 + x2 = 2x2
9 + 2x2 = 89

Solving
9 + 2x2 = 89

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 2x2 = 89 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = 89 + -9
2x2 = 89 + -9

Combine like terms: 89 + -9 = 80
2x2 = 80

Divide each side by '2'.
x2 = 40

Simplifying
x2 = 40

Take the square root of each side:
x = {-6.32455532, 6.32455532}