(5v-9)(1-v)=0

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Solution for (5v-9)(1-v)=0 equation:


Simplifying
(5v + -9)(1 + -1v) = 0

Reorder the terms:
(-9 + 5v)(1 + -1v) = 0

Multiply (-9 + 5v) * (1 + -1v)
(-9(1 + -1v) + 5v * (1 + -1v)) = 0
((1 * -9 + -1v * -9) + 5v * (1 + -1v)) = 0
((-9 + 9v) + 5v * (1 + -1v)) = 0
(-9 + 9v + (1 * 5v + -1v * 5v)) = 0
(-9 + 9v + (5v + -5v2)) = 0

Combine like terms: 9v + 5v = 14v
(-9 + 14v + -5v2) = 0

Solving
-9 + 14v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + 5v)(1 + -1v) = 0

Subproblem 1

Set the factor '(-9 + 5v)' equal to zero and attempt to solve: Simplifying -9 + 5v = 0 Solving -9 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5v = 0 + 9 5v = 0 + 9 Combine like terms: 0 + 9 = 9 5v = 9 Divide each side by '5'. v = 1.8 Simplifying v = 1.8

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 = {1.8, 1}

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