5x^2+6=3x^2+24

Solution for 5x^2+6=3x^2+24 equation:

Simplifying
5x2 + 6 = 3x2 + 24

Reorder the terms:
6 + 5x2 = 3x2 + 24

Reorder the terms:
6 + 5x2 = 24 + 3x2

Solving
6 + 5x2 = 24 + 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.
6 + 5x2 + -3x2 = 24 + 3x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
6 + 2x2 = 24 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6 + 2x2 = 24 + 0
6 + 2x2 = 24

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 24 + -6
2x2 = 24 + -6

Combine like terms: 24 + -6 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}