2x^2+9=x^2+34

Solution for 2x^2+9=x^2+34 equation:

Simplifying
2x2 + 9 = x2 + 34

Reorder the terms:
9 + 2x2 = x2 + 34

Reorder the terms:
9 + 2x2 = 34 + x2

Solving
9 + 2x2 = 34 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
9 + 2x2 + -1x2 = 34 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
9 + 1x2 = 34 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 1x2 = 34 + 0
9 + 1x2 = 34

Add '-9' to each side of the equation.
9 + -9 + 1x2 = 34 + -9

Combine like terms: 9 + -9 = 0
0 + 1x2 = 34 + -9
1x2 = 34 + -9

Combine like terms: 34 + -9 = 25
1x2 = 25

Divide each side by '1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}