5(u+7)(-u-4)=0

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Solution for 5(u+7)(-u-4)=0 equation: 


Simplifying
5(u + 7)(-1u + -4) = 0

Reorder the terms:
5(7 + u)(-1u + -4) = 0

Reorder the terms:
5(7 + u)(-4 + -1u) = 0

Multiply (7 + u) * (-4 + -1u)
5(7(-4 + -1u) + u(-4 + -1u)) = 0
5((-4 * 7 + -1u * 7) + u(-4 + -1u)) = 0
5((-28 + -7u) + u(-4 + -1u)) = 0
5(-28 + -7u + (-4 * u + -1u * u)) = 0
5(-28 + -7u + (-4u + -1u2)) = 0

Combine like terms: -7u + -4u = -11u
5(-28 + -11u + -1u2) = 0
(-28 * 5 + -11u * 5 + -1u2 * 5) = 0
(-140 + -55u + -5u2) = 0

Solving
-140 + -55u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(28 + 11u + u2) = 0

Factor a trinomial.
-5((7 + u)(4 + u)) = 0

Ignore the factor -5.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + u)' equal to zero and attempt to solve:

Simplifying
4 + u = 0

Solving
4 + u = 0

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

Add '-4' to each side of the equation.
4 + -4 + u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + u = 0 + -4
u = 0 + -4

Combine like terms: 0 + -4 = -4
u = -4

Simplifying
u = -4
Solution
u = {-7, -4}

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