(4+v)(5v+6)=0

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Solution for (4+v)(5v+6)=0 equation:


Simplifying
(4 + v)(5v + 6) = 0

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

Multiply (4 + v) * (6 + 5v)
(4(6 + 5v) + v(6 + 5v)) = 0
((6 * 4 + 5v * 4) + v(6 + 5v)) = 0
((24 + 20v) + v(6 + 5v)) = 0
(24 + 20v + (6 * v + 5v * v)) = 0
(24 + 20v + (6v + 5v2)) = 0

Combine like terms: 20v + 6v = 26v
(24 + 26v + 5v2) = 0

Solving
24 + 26v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + v)(6 + 5v) = 0

Subproblem 1

Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4

Subproblem 2

Set the factor '(6 + 5v)' equal to zero and attempt to solve: Simplifying 6 + 5v = 0 Solving 6 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5v = 0 + -6 5v = 0 + -6 Combine like terms: 0 + -6 = -6 5v = -6 Divide each side by '5'. v = -1.2 Simplifying v = -1.2

Solution

v = {-4, -1.2}

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