(2v+7)(9-v)=0

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Solution for (2v+7)(9-v)=0 equation:


Simplifying
(2v + 7)(9 + -1v) = 0

Reorder the terms:
(7 + 2v)(9 + -1v) = 0

Multiply (7 + 2v) * (9 + -1v)
(7(9 + -1v) + 2v * (9 + -1v)) = 0
((9 * 7 + -1v * 7) + 2v * (9 + -1v)) = 0
((63 + -7v) + 2v * (9 + -1v)) = 0
(63 + -7v + (9 * 2v + -1v * 2v)) = 0
(63 + -7v + (18v + -2v2)) = 0

Combine like terms: -7v + 18v = 11v
(63 + 11v + -2v2) = 0

Solving
63 + 11v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + -1v)(7 + 2v) = 0

Subproblem 1

Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 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 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9

Subproblem 2

Set the factor '(7 + 2v)' equal to zero and attempt to solve: Simplifying 7 + 2v = 0 Solving 7 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 0 + -7 2v = 0 + -7 Combine like terms: 0 + -7 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5

Solution

v = {9, -3.5}

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