(8+v)(2v-1)=0

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Solution for (8+v)(2v-1)=0 equation:


Simplifying
(8 + v)(2v + -1) = 0

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

Multiply (8 + v) * (-1 + 2v)
(8(-1 + 2v) + v(-1 + 2v)) = 0
((-1 * 8 + 2v * 8) + v(-1 + 2v)) = 0
((-8 + 16v) + v(-1 + 2v)) = 0
(-8 + 16v + (-1 * v + 2v * v)) = 0
(-8 + 16v + (-1v + 2v2)) = 0

Combine like terms: 16v + -1v = 15v
(-8 + 15v + 2v2) = 0

Solving
-8 + 15v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(1 + -2v) = 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 '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5

Solution

v = {-8, 0.5}

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