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

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


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

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

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

Multiply (-9 + u) * (-5 + u)
-4(-9(-5 + u) + u(-5 + u)) = 0
-4((-5 * -9 + u * -9) + u(-5 + u)) = 0
-4((45 + -9u) + u(-5 + u)) = 0
-4(45 + -9u + (-5 * u + u * u)) = 0
-4(45 + -9u + (-5u + u2)) = 0

Combine like terms: -9u + -5u = -14u
-4(45 + -14u + u2) = 0
(45 * -4 + -14u * -4 + u2 * -4) = 0
(-180 + 56u + -4u2) = 0

Solving
-180 + 56u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + 14u + -1u2) = 0

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

Ignore the factor 4.

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 '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 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 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5

Solution

u = {9, 5}

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