2x^2-5=3x^2-9

Solution for 2x^2-5=3x^2-9 equation:

Simplifying
2x2 + -5 = 3x2 + -9

Reorder the terms:
-5 + 2x2 = 3x2 + -9

Reorder the terms:
-5 + 2x2 = -9 + 3x2

Solving
-5 + 2x2 = -9 + 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.
-5 + 2x2 + -3x2 = -9 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
-5 + -1x2 = -9 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + -1x2 = -9 + 0
-5 + -1x2 = -9

Add '5' to each side of the equation.
-5 + 5 + -1x2 = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -1x2 = -9 + 5
-1x2 = -9 + 5

Combine like terms: -9 + 5 = -4
-1x2 = -4

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}