-4u(u-9)(u+2)=0

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Solution for -4u(u-9)(u+2)=0 equation: 


Simplifying
-4u(u + -9)(u + 2) = 0

Reorder the terms:
-4u(-9 + u)(u + 2) = 0

Reorder the terms:
-4u(-9 + u)(2 + u) = 0

Multiply (-9 + u) * (2 + u)
-4u(-9(2 + u) + u(2 + u)) = 0
-4u((2 * -9 + u * -9) + u(2 + u)) = 0
-4u((-18 + -9u) + u(2 + u)) = 0
-4u(-18 + -9u + (2 * u + u * u)) = 0
-4u(-18 + -9u + (2u + u2)) = 0

Combine like terms: -9u + 2u = -7u
-4u(-18 + -7u + u2) = 0
(-18 * -4u + -7u * -4u + u2 * -4u) = 0
(72u + 28u2 + -4u3) = 0

Solving
72u + 28u2 + -4u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(18 + 7u + -1u2) = 0

Factor a trinomial.
4u((9 + -1u)(2 + u)) = 0

Ignore the factor 4.

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

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0

Subproblem 2
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9

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

Simplifying
2 + u = 0

Solving
2 + u = 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 + u = 0 + -2

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

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

Simplifying
u = -2
Solution
u = {0, 9, -2}

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