(4u+5)(7+u)=0

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Solution for (4u+5)(7+u)=0 equation:


Simplifying
(4u + 5)(7 + u) = 0

Reorder the terms:
(5 + 4u)(7 + u) = 0

Multiply (5 + 4u) * (7 + u)
(5(7 + u) + 4u * (7 + u)) = 0
((7 * 5 + u * 5) + 4u * (7 + u)) = 0
((35 + 5u) + 4u * (7 + u)) = 0
(35 + 5u + (7 * 4u + u * 4u)) = 0
(35 + 5u + (28u + 4u2)) = 0

Combine like terms: 5u + 28u = 33u
(35 + 33u + 4u2) = 0

Solving
35 + 33u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + u)(5 + 4u) = 0

Subproblem 1

Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7

Subproblem 2

Set the factor '(5 + 4u)' equal to zero and attempt to solve: Simplifying 5 + 4u = 0 Solving 5 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4u = 0 + -5 4u = 0 + -5 Combine like terms: 0 + -5 = -5 4u = -5 Divide each side by '4'. u = -1.25 Simplifying u = -1.25

Solution

u = {-7, -1.25}

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