(4-v)(2v+9)=0

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Solution for (4-v)(2v+9)=0 equation:


Simplifying
(4 + -1v)(2v + 9) = 0

Reorder the terms:
(4 + -1v)(9 + 2v) = 0

Multiply (4 + -1v) * (9 + 2v)
(4(9 + 2v) + -1v * (9 + 2v)) = 0
((9 * 4 + 2v * 4) + -1v * (9 + 2v)) = 0
((36 + 8v) + -1v * (9 + 2v)) = 0
(36 + 8v + (9 * -1v + 2v * -1v)) = 0
(36 + 8v + (-9v + -2v2)) = 0

Combine like terms: 8v + -9v = -1v
(36 + -1v + -2v2) = 0

Solving
36 + -1v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + -1v)(9 + 2v) = 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 '(9 + 2v)' equal to zero and attempt to solve: Simplifying 9 + 2v = 0 Solving 9 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 0 + -9 2v = 0 + -9 Combine like terms: 0 + -9 = -9 2v = -9 Divide each side by '2'. v = -4.5 Simplifying v = -4.5

Solution

v = {4, -4.5}

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