3x^2-13=2x^2+3

Solution for 3x^2-13=2x^2+3 equation:

Simplifying
3x2 + -13 = 2x2 + 3

Reorder the terms:
-13 + 3x2 = 2x2 + 3

Reorder the terms:
-13 + 3x2 = 3 + 2x2

Solving
-13 + 3x2 = 3 + 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.
-13 + 3x2 + -2x2 = 3 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-13 + 1x2 = 3 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-13 + 1x2 = 3 + 0
-13 + 1x2 = 3

Add '13' to each side of the equation.
-13 + 13 + 1x2 = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 1x2 = 3 + 13
1x2 = 3 + 13

Combine like terms: 3 + 13 = 16
1x2 = 16

Divide each side by '1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}