(u-8)(u-4)=

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Solution for (u-8)(u-4)= equation:


Simplifying
(u + -8)(u + -4) = 0

Reorder the terms:
(-8 + u)(u + -4) = 0

Reorder the terms:
(-8 + u)(-4 + u) = 0

Multiply (-8 + u) * (-4 + u)
(-8(-4 + u) + u(-4 + u)) = 0
((-4 * -8 + u * -8) + u(-4 + u)) = 0
((32 + -8u) + u(-4 + u)) = 0
(32 + -8u + (-4 * u + u * u)) = 0
(32 + -8u + (-4u + u2)) = 0

Combine like terms: -8u + -4u = -12u
(32 + -12u + u2) = 0

Solving
32 + -12u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(4 + -1u)(8 + -1u) = 0

Subproblem 1

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

Subproblem 2

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 = {4, 8}

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