(9+v)(3v-5)=0

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Solution for (9+v)(3v-5)=0 equation:


Simplifying
(9 + v)(3v + -5) = 0

Reorder the terms:
(9 + v)(-5 + 3v) = 0

Multiply (9 + v) * (-5 + 3v)
(9(-5 + 3v) + v(-5 + 3v)) = 0
((-5 * 9 + 3v * 9) + v(-5 + 3v)) = 0
((-45 + 27v) + v(-5 + 3v)) = 0
(-45 + 27v + (-5 * v + 3v * v)) = 0
(-45 + 27v + (-5v + 3v2)) = 0

Combine like terms: 27v + -5v = 22v
(-45 + 22v + 3v2) = 0

Solving
-45 + 22v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(5 + -3v) = 0

Subproblem 1

Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 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 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9

Subproblem 2

Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667

Solution

v = {-9, 1.666666667}

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