-9v^2+30v-25=0

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Solution for -9v^2+30v-25=0 equation:


Simplifying
-9v2 + 30v + -25 = 0

Reorder the terms:
-25 + 30v + -9v2 = 0

Solving
-25 + 30v + -9v2 = 0

Solving for variable 'v'.

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

Solution

v = {1.666666667, 1.666666667}

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