(8-v)(5v-4)=0

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Solution for (8-v)(5v-4)=0 equation:


Simplifying
(8 + -1v)(5v + -4) = 0

Reorder the terms:
(8 + -1v)(-4 + 5v) = 0

Multiply (8 + -1v) * (-4 + 5v)
(8(-4 + 5v) + -1v * (-4 + 5v)) = 0
((-4 * 8 + 5v * 8) + -1v * (-4 + 5v)) = 0
((-32 + 40v) + -1v * (-4 + 5v)) = 0
(-32 + 40v + (-4 * -1v + 5v * -1v)) = 0
(-32 + 40v + (4v + -5v2)) = 0

Combine like terms: 40v + 4v = 44v
(-32 + 44v + -5v2) = 0

Solving
-32 + 44v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(4 + -5v) = 0

Subproblem 1

Set the factor '(-8 + v)' equal to zero and attempt to solve: Simplifying -8 + v = 0 Solving -8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8

Subproblem 2

Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8

Solution

v = {8, 0.8}

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