5v^2-34v-48=0

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Solution for 5v^2-34v-48=0 equation:


Simplifying
5v2 + -34v + -48 = 0

Reorder the terms:
-48 + -34v + 5v2 = 0

Solving
-48 + -34v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + -5v)(8 + -1v) = 0

Subproblem 1

Set the factor '(-6 + -5v)' equal to zero and attempt to solve: Simplifying -6 + -5v = 0 Solving -6 + -5v = 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 + -5v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = 0 + 6 -5v = 0 + 6 Combine like terms: 0 + 6 = 6 -5v = 6 Divide each side by '-5'. v = -1.2 Simplifying v = -1.2

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 = {-1.2, 8}

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