x^2-19=-2x^2+89

Solution for x^2-19=-2x^2+89 equation:

Simplifying
x2 + -19 = -2x2 + 89

Reorder the terms:
-19 + x2 = -2x2 + 89

Reorder the terms:
-19 + x2 = 89 + -2x2

Solving
-19 + x2 = 89 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
-19 + x2 + 2x2 = 89 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
-19 + 3x2 = 89 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-19 + 3x2 = 89 + 0
-19 + 3x2 = 89

Add '19' to each side of the equation.
-19 + 19 + 3x2 = 89 + 19

Combine like terms: -19 + 19 = 0
0 + 3x2 = 89 + 19
3x2 = 89 + 19

Combine like terms: 89 + 19 = 108
3x2 = 108

Divide each side by '3'.
x2 = 36

Simplifying
x2 = 36

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