3x^2-9=2x^2+16

Solution for 3x^2-9=2x^2+16 equation:

Simplifying
3x2 + -9 = 2x2 + 16

Reorder the terms:
-9 + 3x2 = 2x2 + 16

Reorder the terms:
-9 + 3x2 = 16 + 2x2

Solving
-9 + 3x2 = 16 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-9 + 3x2 + -2x2 = 16 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-9 + 1x2 = 16 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-9 + 1x2 = 16 + 0
-9 + 1x2 = 16

Add '9' to each side of the equation.
-9 + 9 + 1x2 = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 1x2 = 16 + 9
1x2 = 16 + 9

Combine like terms: 16 + 9 = 25
1x2 = 25

Divide each side by '1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}