16u^2+12u-18=

Solution for 16u^2+12u-18= equation:

Simplifying
16u2 + 12u + -18 = 0

Reorder the terms:
-18 + 12u + 16u2 = 0

Solving
-18 + 12u + 16u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 6u + 8u2) = 0

Factor a trinomial.
2((-3 + -2u)(3 + -4u)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2u)' equal to zero and attempt to solve:

Simplifying
-3 + -2u = 0

Solving
-3 + -2u = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2u = 0 + 3
-2u = 0 + 3

Combine like terms: 0 + 3 = 3
-2u = 3

Divide each side by '-2'.
u = -1.5

Simplifying
u = -1.5
Subproblem 2
Set the factor '(3 + -4u)' equal to zero and attempt to solve:

Simplifying
3 + -4u = 0

Solving
3 + -4u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4u = 0 + -3
-4u = 0 + -3

Combine like terms: 0 + -3 = -3
-4u = -3

Divide each side by '-4'.
u = 0.75

Simplifying
u = 0.75
Solution
u = {-1.5, 0.75}