3x^2-72=2x^2+28

Solution for 3x^2-72=2x^2+28 equation:

Simplifying
3x2 + -72 = 2x2 + 28

Reorder the terms:
-72 + 3x2 = 2x2 + 28

Reorder the terms:
-72 + 3x2 = 28 + 2x2

Solving
-72 + 3x2 = 28 + 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.
-72 + 3x2 + -2x2 = 28 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-72 + 1x2 = 28 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-72 + 1x2 = 28 + 0
-72 + 1x2 = 28

Add '72' to each side of the equation.
-72 + 72 + 1x2 = 28 + 72

Combine like terms: -72 + 72 = 0
0 + 1x2 = 28 + 72
1x2 = 28 + 72

Combine like terms: 28 + 72 = 100
1x2 = 100

Divide each side by '1'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}