2y-3x^2+8x^2-3y=3x^2-y

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

Simplifying
2y + -3x2 + 8x2 + -3y = 3x2 + -1y

Reorder the terms:
-3x2 + 8x2 + 2y + -3y = 3x2 + -1y

Combine like terms: -3x2 + 8x2 = 5x2
5x2 + 2y + -3y = 3x2 + -1y

Combine like terms: 2y + -3y = -1y
5x2 + -1y = 3x2 + -1y

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

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

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

Solving
5x2 = 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.
5x2 + -3x2 = 3x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
2x2 = 3x2 + -3x2

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

Divide each side by '2'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}