(9-u)(4u-2)=0

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Solution for (9-u)(4u-2)=0 equation:


Simplifying
(9 + -1u)(4u + -2) = 0

Reorder the terms:
(9 + -1u)(-2 + 4u) = 0

Multiply (9 + -1u) * (-2 + 4u)
(9(-2 + 4u) + -1u * (-2 + 4u)) = 0
((-2 * 9 + 4u * 9) + -1u * (-2 + 4u)) = 0
((-18 + 36u) + -1u * (-2 + 4u)) = 0
(-18 + 36u + (-2 * -1u + 4u * -1u)) = 0
(-18 + 36u + (2u + -4u2)) = 0

Combine like terms: 36u + 2u = 38u
(-18 + 38u + -4u2) = 0

Solving
-18 + 38u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 19u + -2u2) = 0

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

Ignore the factor 2.

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 '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5

Solution

u = {9, 0.5}

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