5v^2-8v-21=0

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Solution for 5v^2-8v-21=0 equation:


Simplifying
5v2 + -8v + -21 = 0

Reorder the terms:
-21 + -8v + 5v2 = 0

Solving
-21 + -8v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -5v)(3 + -1v) = 0

Subproblem 1

Set the factor '(-7 + -5v)' equal to zero and attempt to solve: Simplifying -7 + -5v = 0 Solving -7 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = 0 + 7 -5v = 0 + 7 Combine like terms: 0 + 7 = 7 -5v = 7 Divide each side by '-5'. v = -1.4 Simplifying v = -1.4

Subproblem 2

Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3

Solution

v = {-1.4, 3}

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