(4v+5)(v+1)=0

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Solution for (4v+5)(v+1)=0 equation:


Simplifying
(4v + 5)(v + 1) = 0

Reorder the terms:
(5 + 4v)(v + 1) = 0

Reorder the terms:
(5 + 4v)(1 + v) = 0

Multiply (5 + 4v) * (1 + v)
(5(1 + v) + 4v * (1 + v)) = 0
((1 * 5 + v * 5) + 4v * (1 + v)) = 0
((5 + 5v) + 4v * (1 + v)) = 0
(5 + 5v + (1 * 4v + v * 4v)) = 0
(5 + 5v + (4v + 4v2)) = 0

Combine like terms: 5v + 4v = 9v
(5 + 9v + 4v2) = 0

Solving
5 + 9v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + 4v)(1 + v) = 0

Subproblem 1

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

Subproblem 2

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

Solution

v = {-1.25, -1}

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