3x^2-75=2x^2-36

Solution for 3x^2-75=2x^2-36 equation:

Simplifying
3x2 + -75 = 2x2 + -36

Reorder the terms:
-75 + 3x2 = 2x2 + -36

Reorder the terms:
-75 + 3x2 = -36 + 2x2

Solving
-75 + 3x2 = -36 + 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.
-75 + 3x2 + -2x2 = -36 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-75 + 1x2 = -36 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-75 + 1x2 = -36 + 0
-75 + 1x2 = -36

Add '75' to each side of the equation.
-75 + 75 + 1x2 = -36 + 75

Combine like terms: -75 + 75 = 0
0 + 1x2 = -36 + 75
1x2 = -36 + 75

Combine like terms: -36 + 75 = 39
1x2 = 39

Divide each side by '1'.
x2 = 39

Simplifying
x2 = 39

Take the square root of each side:
x = {-6.244997998, 6.244997998}