5(u-4)(-u+9)=0

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Solution for 5(u-4)(-u+9)=0 equation: 


Simplifying
5(u + -4)(-1u + 9) = 0

Reorder the terms:
5(-4 + u)(-1u + 9) = 0

Reorder the terms:
5(-4 + u)(9 + -1u) = 0

Multiply (-4 + u) * (9 + -1u)
5(-4(9 + -1u) + u(9 + -1u)) = 0
5((9 * -4 + -1u * -4) + u(9 + -1u)) = 0
5((-36 + 4u) + u(9 + -1u)) = 0
5(-36 + 4u + (9 * u + -1u * u)) = 0
5(-36 + 4u + (9u + -1u2)) = 0

Combine like terms: 4u + 9u = 13u
5(-36 + 13u + -1u2) = 0
(-36 * 5 + 13u * 5 + -1u2 * 5) = 0
(-180 + 65u + -5u2) = 0

Solving
-180 + 65u + -5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + 13u + -1u2) = 0

Factor a trinomial.
5((-9 + u)(4 + -1u)) = 0

Ignore the factor 5.

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

Simplifying
-9 + u = 0

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

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

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

Simplifying
u = 9

Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 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 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {9, 4}

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