(4u+3)(8-u)=0

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Solution for (4u+3)(8-u)=0 equation:


Simplifying
(4u + 3)(8 + -1u) = 0

Reorder the terms:
(3 + 4u)(8 + -1u) = 0

Multiply (3 + 4u) * (8 + -1u)
(3(8 + -1u) + 4u * (8 + -1u)) = 0
((8 * 3 + -1u * 3) + 4u * (8 + -1u)) = 0
((24 + -3u) + 4u * (8 + -1u)) = 0
(24 + -3u + (8 * 4u + -1u * 4u)) = 0
(24 + -3u + (32u + -4u2)) = 0

Combine like terms: -3u + 32u = 29u
(24 + 29u + -4u2) = 0

Solving
24 + 29u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + -1u)(3 + 4u) = 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 '(3 + 4u)' equal to zero and attempt to solve: Simplifying 3 + 4u = 0 Solving 3 + 4u = 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 + 4u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4u = 0 + -3 4u = 0 + -3 Combine like terms: 0 + -3 = -3 4u = -3 Divide each side by '4'. u = -0.75 Simplifying u = -0.75

Solution

u = {8, -0.75}

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