(5u+6)(8-u)=0

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Solution for (5u+6)(8-u)=0 equation:


Simplifying
(5u + 6)(8 + -1u) = 0

Reorder the terms:
(6 + 5u)(8 + -1u) = 0

Multiply (6 + 5u) * (8 + -1u)
(6(8 + -1u) + 5u * (8 + -1u)) = 0
((8 * 6 + -1u * 6) + 5u * (8 + -1u)) = 0
((48 + -6u) + 5u * (8 + -1u)) = 0
(48 + -6u + (8 * 5u + -1u * 5u)) = 0
(48 + -6u + (40u + -5u2)) = 0

Combine like terms: -6u + 40u = 34u
(48 + 34u + -5u2) = 0

Solving
48 + 34u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + -1u)(6 + 5u) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + 5u)' equal to zero and attempt to solve: Simplifying 6 + 5u = 0 Solving 6 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5u = 0 + -6 5u = 0 + -6 Combine like terms: 0 + -6 = -6 5u = -6 Divide each side by '5'. u = -1.2 Simplifying u = -1.2

Solution

u = {8, -1.2}

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