(8+v)(5v-9)=0

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Solution for (8+v)(5v-9)=0 equation:


Simplifying
(8 + v)(5v + -9) = 0

Reorder the terms:
(8 + v)(-9 + 5v) = 0

Multiply (8 + v) * (-9 + 5v)
(8(-9 + 5v) + v(-9 + 5v)) = 0
((-9 * 8 + 5v * 8) + v(-9 + 5v)) = 0
((-72 + 40v) + v(-9 + 5v)) = 0
(-72 + 40v + (-9 * v + 5v * v)) = 0
(-72 + 40v + (-9v + 5v2)) = 0

Combine like terms: 40v + -9v = 31v
(-72 + 31v + 5v2) = 0

Solving
-72 + 31v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(9 + -5v) = 0

Subproblem 1

Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8

Subproblem 2

Set the factor '(9 + -5v)' equal to zero and attempt to solve: Simplifying 9 + -5v = 0 Solving 9 + -5v = 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 + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = 0 + -9 -5v = 0 + -9 Combine like terms: 0 + -9 = -9 -5v = -9 Divide each side by '-5'. v = 1.8 Simplifying v = 1.8

Solution

v = {-8, 1.8}

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