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

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


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

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

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

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

Combine like terms: -8u + -7u = -15u
3u(56 + -15u + u2) = 0
(56 * 3u + -15u * 3u + u2 * 3u) = 0
(168u + -45u2 + 3u3) = 0

Solving
168u + -45u2 + 3u3 = 0

Solving for variable 'u'.

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

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

Ignore the factor 3.

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 '(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 3
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 = {0, 7, 8}

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