6v^2-5v-25=0

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Solution for 6v^2-5v-25=0 equation:


Simplifying
6v2 + -5v + -25 = 0

Reorder the terms:
-25 + -5v + 6v2 = 0

Solving
-25 + -5v + 6v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -3v)(5 + -2v) = 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 '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 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 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5

Solution

v = {-1.666666667, 2.5}

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