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

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


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

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

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

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

Combine like terms: -5v + -3v = -8v
(5 + -8v + 3v2) = 0

Solving
5 + -8v + 3v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

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 = {1, 1.666666667}

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