7x^2-1=x^2+29

Solution for 7x^2-1=x^2+29 equation:

Simplifying
7x2 + -1 = x2 + 29

Reorder the terms:
-1 + 7x2 = x2 + 29

Reorder the terms:
-1 + 7x2 = 29 + x2

Solving
-1 + 7x2 = 29 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-1 + 7x2 + -1x2 = 29 + x2 + -1x2

Combine like terms: 7x2 + -1x2 = 6x2
-1 + 6x2 = 29 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 6x2 = 29 + 0
-1 + 6x2 = 29

Add '1' to each side of the equation.
-1 + 1 + 6x2 = 29 + 1

Combine like terms: -1 + 1 = 0
0 + 6x2 = 29 + 1
6x2 = 29 + 1

Combine like terms: 29 + 1 = 30
6x2 = 30

Divide each side by '6'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}