(6+v)(3v-8)=0

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Solution for (6+v)(3v-8)=0 equation:


Simplifying
(6 + v)(3v + -8) = 0

Reorder the terms:
(6 + v)(-8 + 3v) = 0

Multiply (6 + v) * (-8 + 3v)
(6(-8 + 3v) + v(-8 + 3v)) = 0
((-8 * 6 + 3v * 6) + v(-8 + 3v)) = 0
((-48 + 18v) + v(-8 + 3v)) = 0
(-48 + 18v + (-8 * v + 3v * v)) = 0
(-48 + 18v + (-8v + 3v2)) = 0

Combine like terms: 18v + -8v = 10v
(-48 + 10v + 3v2) = 0

Solving
-48 + 10v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + -1v)(8 + -3v) = 0

Subproblem 1

Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6

Subproblem 2

Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 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 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667

Solution

v = {-6, 2.666666667}

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