(4-v)(5v+2)=0

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Solution for (4-v)(5v+2)=0 equation:


Simplifying
(4 + -1v)(5v + 2) = 0

Reorder the terms:
(4 + -1v)(2 + 5v) = 0

Multiply (4 + -1v) * (2 + 5v)
(4(2 + 5v) + -1v * (2 + 5v)) = 0
((2 * 4 + 5v * 4) + -1v * (2 + 5v)) = 0
((8 + 20v) + -1v * (2 + 5v)) = 0
(8 + 20v + (2 * -1v + 5v * -1v)) = 0
(8 + 20v + (-2v + -5v2)) = 0

Combine like terms: 20v + -2v = 18v
(8 + 18v + -5v2) = 0

Solving
8 + 18v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + -1v)(2 + 5v) = 0

Subproblem 1

Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4

Subproblem 2

Set the factor '(2 + 5v)' equal to zero and attempt to solve: Simplifying 2 + 5v = 0 Solving 2 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = 0 + -2 5v = 0 + -2 Combine like terms: 0 + -2 = -2 5v = -2 Divide each side by '5'. v = -0.4 Simplifying v = -0.4

Solution

v = {4, -0.4}

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