7u(u-9)(2u-5)=0

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Solution for 7u(u-9)(2u-5)=0 equation: 


Simplifying
7u(u + -9)(2u + -5) = 0

Reorder the terms:
7u(-9 + u)(2u + -5) = 0

Reorder the terms:
7u(-9 + u)(-5 + 2u) = 0

Multiply (-9 + u) * (-5 + 2u)
7u(-9(-5 + 2u) + u(-5 + 2u)) = 0
7u((-5 * -9 + 2u * -9) + u(-5 + 2u)) = 0
7u((45 + -18u) + u(-5 + 2u)) = 0
7u(45 + -18u + (-5 * u + 2u * u)) = 0
7u(45 + -18u + (-5u + 2u2)) = 0

Combine like terms: -18u + -5u = -23u
7u(45 + -23u + 2u2) = 0
(45 * 7u + -23u * 7u + 2u2 * 7u) = 0
(315u + -161u2 + 14u3) = 0

Solving
315u + -161u2 + 14u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '7u'.
7u(45 + -23u + 2u2) = 0

Factor a trinomial.
7u((5 + -2u)(9 + -1u)) = 0

Ignore the factor 7.

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 '(5 + -2u)' equal to zero and attempt to solve:

Simplifying
5 + -2u = 0

Solving
5 + -2u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2u = 0 + -5
-2u = 0 + -5

Combine like terms: 0 + -5 = -5
-2u = -5

Divide each side by '-2'.
u = 2.5

Simplifying
u = 2.5

Subproblem 3
Set the factor '(9 + -1u)' equal to zero and attempt to solve:

Simplifying
9 + -1u = 0

Solving
9 + -1u = 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 + -1u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1u = 0 + -9
-1u = 0 + -9

Combine like terms: 0 + -9 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9
Solution
u = {0, 2.5, 9}

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