-5u(u-9)(u-1)=0

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Solution for -5u(u-9)(u-1)=0 equation: 


Simplifying
-5u(u + -9)(u + -1) = 0

Reorder the terms:
-5u(-9 + u)(u + -1) = 0

Reorder the terms:
-5u(-9 + u)(-1 + u) = 0

Multiply (-9 + u) * (-1 + u)
-5u(-9(-1 + u) + u(-1 + u)) = 0
-5u((-1 * -9 + u * -9) + u(-1 + u)) = 0
-5u((9 + -9u) + u(-1 + u)) = 0
-5u(9 + -9u + (-1 * u + u * u)) = 0
-5u(9 + -9u + (-1u + u2)) = 0

Combine like terms: -9u + -1u = -10u
-5u(9 + -10u + u2) = 0
(9 * -5u + -10u * -5u + u2 * -5u) = 0
(-45u + 50u2 + -5u3) = 0

Solving
-45u + 50u2 + -5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(-9 + 10u + -1u2) = 0

Factor a trinomial.
5u((-9 + u)(1 + -1u)) = 0

Ignore the factor 5.

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 + u)' equal to zero and attempt to solve:

Simplifying
-9 + u = 0

Solving
-9 + u = 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 + u = 0 + 9

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

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

Simplifying
u = 9

Subproblem 3
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
Solution
u = {0, 9, 1}

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