3x^2=2x^2+75

Solution for 3x^2=2x^2+75 equation:

Simplifying
3x2 = 2x2 + 75

Reorder the terms:
3x2 = 75 + 2x2

Solving
3x2 = 75 + 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.
3x2 + -2x2 = 75 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
1x2 = 75 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1x2 = 75 + 0
1x2 = 75

Divide each side by '1'.
x2 = 75

Simplifying
x2 = 75

Take the square root of each side:
x = {-8.660254038, 8.660254038}