x^2=7x^2-7

Solution for x^2=7x^2-7 equation:

Simplifying
x2 = 7x2 + -7

Reorder the terms:
x2 = -7 + 7x2

Solving
x2 = -7 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
x2 + -7x2 = -7 + 7x2 + -7x2

Combine like terms: x2 + -7x2 = -6x2
-6x2 = -7 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-6x2 = -7 + 0
-6x2 = -7

Divide each side by '-6'.
x2 = 1.166666667

Simplifying
x2 = 1.166666667

Take the square root of each side:
x = {-1.08012345, 1.08012345}