-3(u-8)(-u+7)=0

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Solution for -3(u-8)(-u+7)=0 equation: 


Simplifying
-3(u + -8)(-1u + 7) = 0

Reorder the terms:
-3(-8 + u)(-1u + 7) = 0

Reorder the terms:
-3(-8 + u)(7 + -1u) = 0

Multiply (-8 + u) * (7 + -1u)
-3(-8(7 + -1u) + u(7 + -1u)) = 0
-3((7 * -8 + -1u * -8) + u(7 + -1u)) = 0
-3((-56 + 8u) + u(7 + -1u)) = 0
-3(-56 + 8u + (7 * u + -1u * u)) = 0
-3(-56 + 8u + (7u + -1u2)) = 0

Combine like terms: 8u + 7u = 15u
-3(-56 + 15u + -1u2) = 0
(-56 * -3 + 15u * -3 + -1u2 * -3) = 0
(168 + -45u + 3u2) = 0

Solving
168 + -45u + 3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(56 + -15u + u2) = 0

Factor a trinomial.
3((7 + -1u)(8 + -1u)) = 0

Ignore the factor 3.

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 + -1u)' equal to zero and attempt to solve:

Simplifying
8 + -1u = 0

Solving
8 + -1u = 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 + -1u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u = 0 + -8
-1u = 0 + -8

Combine like terms: 0 + -8 = -8
-1u = -8

Divide each side by '-1'.
u = 8

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

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