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

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

Simplifying
8x2 + 3 = 5x2 + 6

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

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

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

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

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

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

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

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

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

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