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

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


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

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

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

Combine like terms: -3v + 20v = 17v
(-15 + 17v + 4v2) = 0

Solving
-15 + 17v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(3 + -4v) = 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 '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75

Solution

v = {-5, 0.75}

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