15x^2-6=12x^2+42

Solution for 15x^2-6=12x^2+42 equation:

Simplifying
15x2 + -6 = 12x2 + 42

Reorder the terms:
-6 + 15x2 = 12x2 + 42

Reorder the terms:
-6 + 15x2 = 42 + 12x2

Solving
-6 + 15x2 = 42 + 12x2

Solving for variable 'x'.

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

Add '-12x2' to each side of the equation.
-6 + 15x2 + -12x2 = 42 + 12x2 + -12x2

Combine like terms: 15x2 + -12x2 = 3x2
-6 + 3x2 = 42 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-6 + 3x2 = 42 + 0
-6 + 3x2 = 42

Add '6' to each side of the equation.
-6 + 6 + 3x2 = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2 = 42 + 6
3x2 = 42 + 6

Combine like terms: 42 + 6 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}