6x^2-27-15=0

Solution for 6x^2-27-15=0 equation:

Simplifying
6x2 + -27 + -15 = 0

Reorder the terms:
-27 + -15 + 6x2 = 0

Combine like terms: -27 + -15 = -42
-42 + 6x2 = 0

Solving
-42 + 6x2 = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 6x2 = 0 + 42

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

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

Divide each side by '6'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}