(3v-4)(9-v)=0

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Solution for (3v-4)(9-v)=0 equation:


Simplifying
(3v + -4)(9 + -1v) = 0

Reorder the terms:
(-4 + 3v)(9 + -1v) = 0

Multiply (-4 + 3v) * (9 + -1v)
(-4(9 + -1v) + 3v * (9 + -1v)) = 0
((9 * -4 + -1v * -4) + 3v * (9 + -1v)) = 0
((-36 + 4v) + 3v * (9 + -1v)) = 0
(-36 + 4v + (9 * 3v + -1v * 3v)) = 0
(-36 + 4v + (27v + -3v2)) = 0

Combine like terms: 4v + 27v = 31v
(-36 + 31v + -3v2) = 0

Solving
-36 + 31v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + v)(4 + -3v) = 0

Subproblem 1

Set the factor '(-9 + v)' equal to zero and attempt to solve: Simplifying -9 + v = 0 Solving -9 + v = 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 + v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + v = 0 + 9 v = 0 + 9 Combine like terms: 0 + 9 = 9 v = 9 Simplifying v = 9

Subproblem 2

Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 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 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333

Solution

v = {9, 1.333333333}

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