-5u(u+9)(u+7)=0

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Solution for -5u(u+9)(u+7)=0 equation: 


Simplifying
-5u(u + 9)(u + 7) = 0

Reorder the terms:
-5u(9 + u)(u + 7) = 0

Reorder the terms:
-5u(9 + u)(7 + u) = 0

Multiply (9 + u) * (7 + u)
-5u(9(7 + u) + u(7 + u)) = 0
-5u((7 * 9 + u * 9) + u(7 + u)) = 0
-5u((63 + 9u) + u(7 + u)) = 0
-5u(63 + 9u + (7 * u + u * u)) = 0
-5u(63 + 9u + (7u + u2)) = 0

Combine like terms: 9u + 7u = 16u
-5u(63 + 16u + u2) = 0
(63 * -5u + 16u * -5u + u2 * -5u) = 0
(-315u + -80u2 + -5u3) = 0

Solving
-315u + -80u2 + -5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-5u'.
-5u(63 + 16u + u2) = 0

Factor a trinomial.
-5u((9 + u)(7 + u)) = 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 '(7 + u)' equal to zero and attempt to solve:

Simplifying
7 + u = 0

Solving
7 + u = 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 + u = 0 + -7

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

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

Simplifying
u = -7
Solution
u = {0, -9, -7}

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