(8v+6)(2v+5)=0

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Solution for (8v+6)(2v+5)=0 equation:


Simplifying
(8v + 6)(2v + 5) = 0

Reorder the terms:
(6 + 8v)(2v + 5) = 0

Reorder the terms:
(6 + 8v)(5 + 2v) = 0

Multiply (6 + 8v) * (5 + 2v)
(6(5 + 2v) + 8v * (5 + 2v)) = 0
((5 * 6 + 2v * 6) + 8v * (5 + 2v)) = 0
((30 + 12v) + 8v * (5 + 2v)) = 0
(30 + 12v + (5 * 8v + 2v * 8v)) = 0
(30 + 12v + (40v + 16v2)) = 0

Combine like terms: 12v + 40v = 52v
(30 + 52v + 16v2) = 0

Solving
30 + 52v + 16v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 26v + 8v2) = 0

Factor a trinomial.
2((5 + 2v)(3 + 4v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + 2v)' equal to zero and attempt to solve: Simplifying 5 + 2v = 0 Solving 5 + 2v = 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 + 2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 0 + -5 2v = 0 + -5 Combine like terms: 0 + -5 = -5 2v = -5 Divide each side by '2'. v = -2.5 Simplifying v = -2.5

Subproblem 2

Set the factor '(3 + 4v)' equal to zero and attempt to solve: Simplifying 3 + 4v = 0 Solving 3 + 4v = 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 + 4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4v = 0 + -3 4v = 0 + -3 Combine like terms: 0 + -3 = -3 4v = -3 Divide each side by '4'. v = -0.75 Simplifying v = -0.75

Solution

v = {-2.5, -0.75}

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