(3+u)(5u-8)=0

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Solution for (3+u)(5u-8)=0 equation:


Simplifying
(3 + u)(5u + -8) = 0

Reorder the terms:
(3 + u)(-8 + 5u) = 0

Multiply (3 + u) * (-8 + 5u)
(3(-8 + 5u) + u(-8 + 5u)) = 0
((-8 * 3 + 5u * 3) + u(-8 + 5u)) = 0
((-24 + 15u) + u(-8 + 5u)) = 0
(-24 + 15u + (-8 * u + 5u * u)) = 0
(-24 + 15u + (-8u + 5u2)) = 0

Combine like terms: 15u + -8u = 7u
(-24 + 7u + 5u2) = 0

Solving
-24 + 7u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -1u)(8 + -5u) = 0

Subproblem 1

Set the factor '(-3 + -1u)' equal to zero and attempt to solve: Simplifying -3 + -1u = 0 Solving -3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = 0 + 3 -1u = 0 + 3 Combine like terms: 0 + 3 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3

Subproblem 2

Set the factor '(8 + -5u)' equal to zero and attempt to solve: Simplifying 8 + -5u = 0 Solving 8 + -5u = 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 + -5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5u = 0 + -8 -5u = 0 + -8 Combine like terms: 0 + -8 = -8 -5u = -8 Divide each side by '-5'. u = 1.6 Simplifying u = 1.6

Solution

u = {-3, 1.6}

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