(1-v)(5v+4)=0

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Solution for (1-v)(5v+4)=0 equation:


Simplifying
(1 + -1v)(5v + 4) = 0

Reorder the terms:
(1 + -1v)(4 + 5v) = 0

Multiply (1 + -1v) * (4 + 5v)
(1(4 + 5v) + -1v * (4 + 5v)) = 0
((4 * 1 + 5v * 1) + -1v * (4 + 5v)) = 0
((4 + 5v) + -1v * (4 + 5v)) = 0
(4 + 5v + (4 * -1v + 5v * -1v)) = 0
(4 + 5v + (-4v + -5v2)) = 0

Combine like terms: 5v + -4v = 1v
(4 + 1v + -5v2) = 0

Solving
4 + 1v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(4 + 5v) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + 5v)' equal to zero and attempt to solve: Simplifying 4 + 5v = 0 Solving 4 + 5v = 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 + 5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5v = 0 + -4 5v = 0 + -4 Combine like terms: 0 + -4 = -4 5v = -4 Divide each side by '5'. v = -0.8 Simplifying v = -0.8

Solution

v = {1, -0.8}

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