6x^2-30x-30=x

Solution for 6x^2-30x-30=x equation:

Simplifying
6x2 + -30x + -30 = x

Reorder the terms:
-30 + -30x + 6x2 = x

Solving
-30 + -30x + 6x2 = x

Solving for variable 'x'.

Reorder the terms:
-30 + -30x + -1x + 6x2 = x + -1x

Combine like terms: -30x + -1x = -31x
-30 + -31x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
-30 + -31x + 6x2 = 0

Factor a trinomial.
(-5 + -6x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.8333333333, 6}