x^2+7x^2-8=0

Solution for x^2+7x^2-8=0 equation:

Simplifying
x2 + 7x2 + -8 = 0

Reorder the terms:
-8 + x2 + 7x2 = 0

Combine like terms: x2 + 7x2 = 8x2
-8 + 8x2 = 0

Solving
-8 + 8x2 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 8x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 8x2 = 0 + 8
8x2 = 0 + 8

Combine like terms: 0 + 8 = 8
8x2 = 8

Divide each side by '8'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}