(5-v)(5v+3)=0

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Solution for (5-v)(5v+3)=0 equation:


Simplifying
(5 + -1v)(5v + 3) = 0

Reorder the terms:
(5 + -1v)(3 + 5v) = 0

Multiply (5 + -1v) * (3 + 5v)
(5(3 + 5v) + -1v * (3 + 5v)) = 0
((3 * 5 + 5v * 5) + -1v * (3 + 5v)) = 0
((15 + 25v) + -1v * (3 + 5v)) = 0
(15 + 25v + (3 * -1v + 5v * -1v)) = 0
(15 + 25v + (-3v + -5v2)) = 0

Combine like terms: 25v + -3v = 22v
(15 + 22v + -5v2) = 0

Solving
15 + 22v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -1v)(3 + 5v) = 0

Subproblem 1

Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 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 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5

Subproblem 2

Set the factor '(3 + 5v)' equal to zero and attempt to solve: Simplifying 3 + 5v = 0 Solving 3 + 5v = 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 + 5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 0 + -3 5v = 0 + -3 Combine like terms: 0 + -3 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6

Solution

v = {5, -0.6}

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