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

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Solution for (3v+1)(v-5)=0 equation:


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

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

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

Multiply (1 + 3v) * (-5 + v)
(1(-5 + v) + 3v * (-5 + v)) = 0
((-5 * 1 + v * 1) + 3v * (-5 + v)) = 0
((-5 + 1v) + 3v * (-5 + v)) = 0
(-5 + 1v + (-5 * 3v + v * 3v)) = 0
(-5 + 1v + (-15v + 3v2)) = 0

Combine like terms: 1v + -15v = -14v
(-5 + -14v + 3v2) = 0

Solving
-5 + -14v + 3v2 = 0

Solving for variable 'v'.

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

Subproblem 1

Set the factor '(-1 + -3v)' equal to zero and attempt to solve: Simplifying -1 + -3v = 0 Solving -1 + -3v = 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 + -3v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3v = 0 + 1 -3v = 0 + 1 Combine like terms: 0 + 1 = 1 -3v = 1 Divide each side by '-3'. v = -0.3333333333 Simplifying v = -0.3333333333

Subproblem 2

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

Solution

v = {-0.3333333333, 5}

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