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

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


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

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

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

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

Combine like terms: 7u + 9u = 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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