3x^2-1=x^2+17

Solution for 3x^2-1=x^2+17 equation:

Simplifying
3x2 + -1 = x2 + 17

Reorder the terms:
-1 + 3x2 = x2 + 17

Reorder the terms:
-1 + 3x2 = 17 + x2

Solving
-1 + 3x2 = 17 + 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 + 3x2 + -1x2 = 17 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-1 + 2x2 = 17 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 2x2 = 17 + 0
-1 + 2x2 = 17

Add '1' to each side of the equation.
-1 + 1 + 2x2 = 17 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 17 + 1
2x2 = 17 + 1

Combine like terms: 17 + 1 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}