-5v^2+14v-8=0

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Solution for -5v^2+14v-8=0 equation:


Simplifying
-5v2 + 14v + -8 = 0

Reorder the terms:
-8 + 14v + -5v2 = 0

Solving
-8 + 14v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + v)(4 + -5v) = 0

Subproblem 1

Set the factor '(-2 + v)' equal to zero and attempt to solve: Simplifying -2 + v = 0 Solving -2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + v = 0 + 2 v = 0 + 2 Combine like terms: 0 + 2 = 2 v = 2 Simplifying v = 2

Subproblem 2

Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8

Solution

v = {2, 0.8}

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