x^2+75=4x^2

Solution for x^2+75=4x^2 equation:

Simplifying
x2 + 75 = 4x2

Reorder the terms:
75 + x2 = 4x2

Solving
75 + x2 = 4x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x2' to each side of the equation.
75 + x2 + -4x2 = 4x2 + -4x2

Combine like terms: x2 + -4x2 = -3x2
75 + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
75 + -3x2 = 0

Add '-75' to each side of the equation.
75 + -75 + -3x2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -3x2 = 0 + -75
-3x2 = 0 + -75

Combine like terms: 0 + -75 = -75
-3x2 = -75

Divide each side by '-3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}