(4v-1)(5v-3)=

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Solution for (4v-1)(5v-3)= equation:


Simplifying
(4v + -1)(5v + -3) = 0

Reorder the terms:
(-1 + 4v)(5v + -3) = 0

Reorder the terms:
(-1 + 4v)(-3 + 5v) = 0

Multiply (-1 + 4v) * (-3 + 5v)
(-1(-3 + 5v) + 4v * (-3 + 5v)) = 0
((-3 * -1 + 5v * -1) + 4v * (-3 + 5v)) = 0
((3 + -5v) + 4v * (-3 + 5v)) = 0
(3 + -5v + (-3 * 4v + 5v * 4v)) = 0
(3 + -5v + (-12v + 20v2)) = 0

Combine like terms: -5v + -12v = -17v
(3 + -17v + 20v2) = 0

Solving
3 + -17v + 20v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -4v)(3 + -5v) = 0

Subproblem 1

Set the factor '(1 + -4v)' equal to zero and attempt to solve: Simplifying 1 + -4v = 0 Solving 1 + -4v = 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 + -4v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4v = 0 + -1 -4v = 0 + -1 Combine like terms: 0 + -1 = -1 -4v = -1 Divide each side by '-4'. v = 0.25 Simplifying v = 0.25

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 = {0.25, 0.6}

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