(4v-3)(2-v)=0

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Solution for (4v-3)(2-v)=0 equation:


Simplifying
(4v + -3)(2 + -1v) = 0

Reorder the terms:
(-3 + 4v)(2 + -1v) = 0

Multiply (-3 + 4v) * (2 + -1v)
(-3(2 + -1v) + 4v * (2 + -1v)) = 0
((2 * -3 + -1v * -3) + 4v * (2 + -1v)) = 0
((-6 + 3v) + 4v * (2 + -1v)) = 0
(-6 + 3v + (2 * 4v + -1v * 4v)) = 0
(-6 + 3v + (8v + -4v2)) = 0

Combine like terms: 3v + 8v = 11v
(-6 + 11v + -4v2) = 0

Solving
-6 + 11v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + v)(3 + -4v) = 0

Subproblem 1

Set the factor '(-2 + v)' equal to zero and attempt to solve: Simplifying -2 + v = 0 Solving -2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + v = 0 + 2 v = 0 + 2 Combine like terms: 0 + 2 = 2 v = 2 Simplifying v = 2

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 = {2, 0.75}

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