(5+v)(4v+9)=0

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Solution for (5+v)(4v+9)=0 equation:


Simplifying
(5 + v)(4v + 9) = 0

Reorder the terms:
(5 + v)(9 + 4v) = 0

Multiply (5 + v) * (9 + 4v)
(5(9 + 4v) + v(9 + 4v)) = 0
((9 * 5 + 4v * 5) + v(9 + 4v)) = 0
((45 + 20v) + v(9 + 4v)) = 0
(45 + 20v + (9 * v + 4v * v)) = 0
(45 + 20v + (9v + 4v2)) = 0

Combine like terms: 20v + 9v = 29v
(45 + 29v + 4v2) = 0

Solving
45 + 29v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + v)(9 + 4v) = 0

Subproblem 1

Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5

Subproblem 2

Set the factor '(9 + 4v)' equal to zero and attempt to solve: Simplifying 9 + 4v = 0 Solving 9 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = 0 + -9 4v = 0 + -9 Combine like terms: 0 + -9 = -9 4v = -9 Divide each side by '4'. v = -2.25 Simplifying v = -2.25

Solution

v = {-5, -2.25}

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