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

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


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

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

Multiply (9 + 3v) * (9 + v)
(9(9 + v) + 3v * (9 + v)) = 0
((9 * 9 + v * 9) + 3v * (9 + v)) = 0
((81 + 9v) + 3v * (9 + v)) = 0
(81 + 9v + (9 * 3v + v * 3v)) = 0
(81 + 9v + (27v + 3v2)) = 0

Combine like terms: 9v + 27v = 36v
(81 + 36v + 3v2) = 0

Solving
81 + 36v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(27 + 12v + v2) = 0

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

Ignore the factor 3.

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 '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3

Solution

v = {-9, -3}

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