5(u-7)(-u-8)=0

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Solution for 5(u-7)(-u-8)=0 equation: 


Simplifying
5(u + -7)(-1u + -8) = 0

Reorder the terms:
5(-7 + u)(-1u + -8) = 0

Reorder the terms:
5(-7 + u)(-8 + -1u) = 0

Multiply (-7 + u) * (-8 + -1u)
5(-7(-8 + -1u) + u(-8 + -1u)) = 0
5((-8 * -7 + -1u * -7) + u(-8 + -1u)) = 0
5((56 + 7u) + u(-8 + -1u)) = 0
5(56 + 7u + (-8 * u + -1u * u)) = 0
5(56 + 7u + (-8u + -1u2)) = 0

Combine like terms: 7u + -8u = -1u
5(56 + -1u + -1u2) = 0
(56 * 5 + -1u * 5 + -1u2 * 5) = 0
(280 + -5u + -5u2) = 0

Solving
280 + -5u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(56 + -1u + -1u2) = 0

Factor a trinomial.
5((7 + -1u)(8 + u)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(7 + -1u)' equal to zero and attempt to solve:

Simplifying
7 + -1u = 0

Solving
7 + -1u = 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 + -1u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1u = 0 + -7
-1u = 0 + -7

Combine like terms: 0 + -7 = -7
-1u = -7

Divide each side by '-1'.
u = 7

Simplifying
u = 7

Subproblem 2
Set the factor '(8 + u)' equal to zero and attempt to solve:

Simplifying
8 + u = 0

Solving
8 + u = 0

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

Add '-8' to each side of the equation.
8 + -8 + u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u = 0 + -8
u = 0 + -8

Combine like terms: 0 + -8 = -8
u = -8

Simplifying
u = -8
Solution
u = {7, -8}

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