[2x^2+9]=10

Solution for [2x^2+9]=10 equation:

Simplifying
[2x2 + 9] = 10

Reorder the terms:
[9 + 2x2] = 10

Remove brackets around [9 + 2x2]
9 + 2x2 = 10

Solving
9 + 2x2 = 10

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 = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = 10 + -9
2x2 = 10 + -9

Combine like terms: 10 + -9 = 1
2x2 = 1

Divide each side by '2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}