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

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


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

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

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

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

Solving
-3 + 8v + -5v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 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 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6

Solution

v = {1, 0.6}

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