(3v-4)(5+v)=0

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Solution for (3v-4)(5+v)=0 equation:


Simplifying
(3v + -4)(5 + v) = 0

Reorder the terms:
(-4 + 3v)(5 + v) = 0

Multiply (-4 + 3v) * (5 + v)
(-4(5 + v) + 3v * (5 + v)) = 0
((5 * -4 + v * -4) + 3v * (5 + v)) = 0
((-20 + -4v) + 3v * (5 + v)) = 0
(-20 + -4v + (5 * 3v + v * 3v)) = 0
(-20 + -4v + (15v + 3v2)) = 0

Combine like terms: -4v + 15v = 11v
(-20 + 11v + 3v2) = 0

Solving
-20 + 11v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(4 + -3v) = 0

Subproblem 1

Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 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 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5

Subproblem 2

Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333

Solution

v = {-5, 1.333333333}

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