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

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Solution for (6-v)(5v-1)=0 equation:


Simplifying
(6 + -1v)(5v + -1) = 0

Reorder the terms:
(6 + -1v)(-1 + 5v) = 0

Multiply (6 + -1v) * (-1 + 5v)
(6(-1 + 5v) + -1v * (-1 + 5v)) = 0
((-1 * 6 + 5v * 6) + -1v * (-1 + 5v)) = 0
((-6 + 30v) + -1v * (-1 + 5v)) = 0
(-6 + 30v + (-1 * -1v + 5v * -1v)) = 0
(-6 + 30v + (1v + -5v2)) = 0

Combine like terms: 30v + 1v = 31v
(-6 + 31v + -5v2) = 0

Solving
-6 + 31v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + v)(1 + -5v) = 0

Subproblem 1

Set the factor '(-6 + v)' equal to zero and attempt to solve: Simplifying -6 + v = 0 Solving -6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v = 0 + 6 v = 0 + 6 Combine like terms: 0 + 6 = 6 v = 6 Simplifying v = 6

Subproblem 2

Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2

Solution

v = {6, 0.2}

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