2x^2+9=3x^2

Solution for 2x^2+9=3x^2 equation:

Simplifying
2x2 + 9 = 3x2

Reorder the terms:
9 + 2x2 = 3x2

Solving
9 + 2x2 = 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
9 + 2x2 + -3x2 = 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
9 + -1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
9 + -1x2 = 0

Add '-9' to each side of the equation.
9 + -9 + -1x2 = 0 + -9

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

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

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}