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

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

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

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

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

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

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
3 + -1x2 + -4x2 = -1 + 4x2 + -4x2

Combine like terms: -1x2 + -4x2 = -5x2
3 + -5x2 = -1 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + -5x2 = -1 + 0
3 + -5x2 = -1

Add '-3' to each side of the equation.
3 + -3 + -5x2 = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -5x2 = -1 + -3
-5x2 = -1 + -3

Combine like terms: -1 + -3 = -4
-5x2 = -4

Divide each side by '-5'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}