3v^2-19v-40=0

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Solution for 3v^2-19v-40=0 equation:


Simplifying
3v2 + -19v + -40 = 0

Reorder the terms:
-40 + -19v + 3v2 = 0

Solving
-40 + -19v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -3v)(8 + -1v) = 0

Subproblem 1

Set the factor '(-5 + -3v)' equal to zero and attempt to solve: Simplifying -5 + -3v = 0 Solving -5 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3v = 0 + 5 -3v = 0 + 5 Combine like terms: 0 + 5 = 5 -3v = 5 Divide each side by '-3'. v = -1.666666667 Simplifying v = -1.666666667

Subproblem 2

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

Solution

v = {-1.666666667, 8}

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