-8x^2+6=-5x^2+3

Solution for -8x^2+6=-5x^2+3 equation:

Simplifying
-8x2 + 6 = -5x2 + 3

Reorder the terms:
6 + -8x2 = -5x2 + 3

Reorder the terms:
6 + -8x2 = 3 + -5x2

Solving
6 + -8x2 = 3 + -5x2

Solving for variable 'x'.

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

Add '5x2' to each side of the equation.
6 + -8x2 + 5x2 = 3 + -5x2 + 5x2

Combine like terms: -8x2 + 5x2 = -3x2
6 + -3x2 = 3 + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
6 + -3x2 = 3 + 0
6 + -3x2 = 3

Add '-6' to each side of the equation.
6 + -6 + -3x2 = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -3x2 = 3 + -6
-3x2 = 3 + -6

Combine like terms: 3 + -6 = -3
-3x2 = -3

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

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