6u^2-18u-18=6

Solution for 6u^2-18u-18=6 equation:

Simplifying
6u2 + -18u + -18 = 6

Reorder the terms:
-18 + -18u + 6u2 = 6

Solving
-18 + -18u + 6u2 = 6

Solving for variable 'u'.

Reorder the terms:
-18 + -6 + -18u + 6u2 = 6 + -6

Combine like terms: -18 + -6 = -24
-24 + -18u + 6u2 = 6 + -6

Combine like terms: 6 + -6 = 0
-24 + -18u + 6u2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + -3u + u2) = 0

Factor a trinomial.
6((-1 + -1u)(4 + -1u)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -1u)' equal to zero and attempt to solve:

Simplifying
-1 + -1u = 0

Solving
-1 + -1u = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1u = 0 + 1
-1u = 0 + 1

Combine like terms: 0 + 1 = 1
-1u = 1

Divide each side by '-1'.
u = -1

Simplifying
u = -1
Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {-1, 4}