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

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Solution for (6-v)(3v+5)=0 equation:


Simplifying
(6 + -1v)(3v + 5) = 0

Reorder the terms:
(6 + -1v)(5 + 3v) = 0

Multiply (6 + -1v) * (5 + 3v)
(6(5 + 3v) + -1v * (5 + 3v)) = 0
((5 * 6 + 3v * 6) + -1v * (5 + 3v)) = 0
((30 + 18v) + -1v * (5 + 3v)) = 0
(30 + 18v + (5 * -1v + 3v * -1v)) = 0
(30 + 18v + (-5v + -3v2)) = 0

Combine like terms: 18v + -5v = 13v
(30 + 13v + -3v2) = 0

Solving
30 + 13v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(6 + -1v)(5 + 3v) = 0

Subproblem 1

Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6

Subproblem 2

Set the factor '(5 + 3v)' equal to zero and attempt to solve: Simplifying 5 + 3v = 0 Solving 5 + 3v = 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 + 3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = 0 + -5 3v = 0 + -5 Combine like terms: 0 + -5 = -5 3v = -5 Divide each side by '3'. v = -1.666666667 Simplifying v = -1.666666667

Solution

v = {6, -1.666666667}

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