-x^2+4=3x^2-1

Solution for -x^2+4=3x^2-1 equation:

Simplifying
-1x2 + 4 = 3x2 + -1

Reorder the terms:
4 + -1x2 = 3x2 + -1

Reorder the terms:
4 + -1x2 = -1 + 3x2

Solving
4 + -1x2 = -1 + 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.
4 + -1x2 + -3x2 = -1 + 3x2 + -3x2

Combine like terms: -1x2 + -3x2 = -4x2
4 + -4x2 = -1 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4 + -4x2 = -1 + 0
4 + -4x2 = -1

Add '-4' to each side of the equation.
4 + -4 + -4x2 = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -4x2 = -1 + -4
-4x2 = -1 + -4

Combine like terms: -1 + -4 = -5
-4x2 = -5

Divide each side by '-4'.
x2 = 1.25

Simplifying
x2 = 1.25

Take the square root of each side:
x = {-1.118033989, 1.118033989}