(5v-2)(5-v)=0

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Solution for (5v-2)(5-v)=0 equation:


Simplifying
(5v + -2)(5 + -1v) = 0

Reorder the terms:
(-2 + 5v)(5 + -1v) = 0

Multiply (-2 + 5v) * (5 + -1v)
(-2(5 + -1v) + 5v * (5 + -1v)) = 0
((5 * -2 + -1v * -2) + 5v * (5 + -1v)) = 0
((-10 + 2v) + 5v * (5 + -1v)) = 0
(-10 + 2v + (5 * 5v + -1v * 5v)) = 0
(-10 + 2v + (25v + -5v2)) = 0

Combine like terms: 2v + 25v = 27v
(-10 + 27v + -5v2) = 0

Solving
-10 + 27v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + v)(2 + -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 '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 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 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4

Solution

v = {5, 0.4}

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