-6u^3(3u-2)(6u+7)=

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Solution for -6u^3(3u-2)(6u+7)= equation: 


Simplifying
-6u3(3u + -2)(6u + 7) = 0

Reorder the terms:
-6u3(-2 + 3u)(6u + 7) = 0

Reorder the terms:
-6u3(-2 + 3u)(7 + 6u) = 0

Multiply (-2 + 3u) * (7 + 6u)
-6u3(-2(7 + 6u) + 3u * (7 + 6u)) = 0
-6u3((7 * -2 + 6u * -2) + 3u * (7 + 6u)) = 0
-6u3((-14 + -12u) + 3u * (7 + 6u)) = 0
-6u3(-14 + -12u + (7 * 3u + 6u * 3u)) = 0
-6u3(-14 + -12u + (21u + 18u2)) = 0

Combine like terms: -12u + 21u = 9u
-6u3(-14 + 9u + 18u2) = 0
(-14 * -6u3 + 9u * -6u3 + 18u2 * -6u3) = 0
(84u3 + -54u4 + -108u5) = 0

Solving
84u3 + -54u4 + -108u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6u3'.
6u3(14 + -9u + -18u2) = 0

Factor a trinomial.
6u3((2 + -3u)(7 + 6u)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve:

Simplifying
u3 = 0

Solving
u3 = 0

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

Simplifying
u3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
2 + -3u = 0

Solving
2 + -3u = 0

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

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

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

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

Divide each side by '-3'.
u = 0.6666666667

Simplifying
u = 0.6666666667

Subproblem 3
Set the factor '(7 + 6u)' equal to zero and attempt to solve:

Simplifying
7 + 6u = 0

Solving
7 + 6u = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6u = 0 + -7
6u = 0 + -7

Combine like terms: 0 + -7 = -7
6u = -7

Divide each side by '6'.
u = -1.166666667

Simplifying
u = -1.166666667
Solution
u = {0.6666666667, -1.166666667}

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