45-2x^2=3x^2

Solution for 45-2x^2=3x^2 equation:

Simplifying
45 + -2x2 = 3x2

Solving
45 + -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.
45 + -2x2 + -3x2 = 3x2 + -3x2

Combine like terms: -2x2 + -3x2 = -5x2
45 + -5x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
45 + -5x2 = 0

Add '-45' to each side of the equation.
45 + -45 + -5x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -5x2 = 0 + -45
-5x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-5x2 = -45

Divide each side by '-5'.
x2 = 9

Simplifying
x2 = 9

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