x^2+75=2x^2

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

Simplifying
x2 + 75 = 2x2

Reorder the terms:
75 + x2 = 2x2

Solving
75 + x2 = 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 + x2 + -2x2 = 2x2 + -2x2

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

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

Add '-75' to each side of the equation.
75 + -75 + -1x2 = 0 + -75

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

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

Divide each side by '-1'.
x2 = 75

Simplifying
x2 = 75

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