(3v+8)(9-v)=0

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Solution for (3v+8)(9-v)=0 equation:


Simplifying
(3v + 8)(9 + -1v) = 0

Reorder the terms:
(8 + 3v)(9 + -1v) = 0

Multiply (8 + 3v) * (9 + -1v)
(8(9 + -1v) + 3v * (9 + -1v)) = 0
((9 * 8 + -1v * 8) + 3v * (9 + -1v)) = 0
((72 + -8v) + 3v * (9 + -1v)) = 0
(72 + -8v + (9 * 3v + -1v * 3v)) = 0
(72 + -8v + (27v + -3v2)) = 0

Combine like terms: -8v + 27v = 19v
(72 + 19v + -3v2) = 0

Solving
72 + 19v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + -1v)(8 + 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 '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667

Solution

v = {9, -2.666666667}

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