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

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

Simplifying
1 + -3x2 = -2x2

Solving
1 + -3x2 = -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
1 + -3x2 + 2x2 = -2x2 + 2x2

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

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

Add '-1' to each side of the equation.
1 + -1 + -1x2 = 0 + -1

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

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

Divide each side by '-1'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}