(6v+3)(v+1)=

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Solution for (6v+3)(v+1)= equation:


Simplifying
(6v + 3)(v + 1) = 0

Reorder the terms:
(3 + 6v)(v + 1) = 0

Reorder the terms:
(3 + 6v)(1 + v) = 0

Multiply (3 + 6v) * (1 + v)
(3(1 + v) + 6v * (1 + v)) = 0
((1 * 3 + v * 3) + 6v * (1 + v)) = 0
((3 + 3v) + 6v * (1 + v)) = 0
(3 + 3v + (1 * 6v + v * 6v)) = 0
(3 + 3v + (6v + 6v2)) = 0

Combine like terms: 3v + 6v = 9v
(3 + 9v + 6v2) = 0

Solving
3 + 9v + 6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 3v + 2v2) = 0

Factor a trinomial.
3((1 + v)(1 + 2v)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5

Solution

v = {-1, -0.5}

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