x^2-1=3x^2-13

Solution for x^2-1=3x^2-13 equation:

Simplifying
x2 + -1 = 3x2 + -13

Reorder the terms:
-1 + x2 = 3x2 + -13

Reorder the terms:
-1 + x2 = -13 + 3x2

Solving
-1 + x2 = -13 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-1 + x2 + -3x2 = -13 + 3x2 + -3x2

Combine like terms: x2 + -3x2 = -2x2
-1 + -2x2 = -13 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + -2x2 = -13 + 0
-1 + -2x2 = -13

Add '1' to each side of the equation.
-1 + 1 + -2x2 = -13 + 1

Combine like terms: -1 + 1 = 0
0 + -2x2 = -13 + 1
-2x2 = -13 + 1

Combine like terms: -13 + 1 = -12
-2x2 = -12

Divide each side by '-2'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}