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

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


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

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

Multiply (-4 + 5v) * (5 + -1v)
(-4(5 + -1v) + 5v * (5 + -1v)) = 0
((5 * -4 + -1v * -4) + 5v * (5 + -1v)) = 0
((-20 + 4v) + 5v * (5 + -1v)) = 0
(-20 + 4v + (5 * 5v + -1v * 5v)) = 0
(-20 + 4v + (25v + -5v2)) = 0

Combine like terms: 4v + 25v = 29v
(-20 + 29v + -5v2) = 0

Solving
-20 + 29v + -5v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

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 = {5, 0.8}

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