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

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


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

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

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

Multiply (-3 + 4v) * (-5 + 5v)
(-3(-5 + 5v) + 4v * (-5 + 5v)) = 0
((-5 * -3 + 5v * -3) + 4v * (-5 + 5v)) = 0
((15 + -15v) + 4v * (-5 + 5v)) = 0
(15 + -15v + (-5 * 4v + 5v * 4v)) = 0
(15 + -15v + (-20v + 20v2)) = 0

Combine like terms: -15v + -20v = -35v
(15 + -35v + 20v2) = 0

Solving
15 + -35v + 20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7v + 4v2) = 0

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

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

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

Solution

v = {0.75, 1}

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