2x^2+9=109

Solution for 2x^2+9=109 equation:

Simplifying
2x2 + 9 = 109

Reorder the terms:
9 + 2x2 = 109

Solving
9 + 2x2 = 109

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 = 109 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = 109 + -9
2x2 = 109 + -9

Combine like terms: 109 + -9 = 100
2x2 = 100

Divide each side by '2'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}