9v^2+18v-16=0

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Solution for 9v^2+18v-16=0 equation:


Simplifying
9v2 + 18v + -16 = 0

Reorder the terms:
-16 + 18v + 9v2 = 0

Solving
-16 + 18v + 9v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -3v)(2 + -3v) = 0

Subproblem 1

Set the factor '(-8 + -3v)' equal to zero and attempt to solve: Simplifying -8 + -3v = 0 Solving -8 + -3v = 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 + -3v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3v = 0 + 8 -3v = 0 + 8 Combine like terms: 0 + 8 = 8 -3v = 8 Divide each side by '-3'. v = -2.666666667 Simplifying v = -2.666666667

Subproblem 2

Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 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 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667

Solution

v = {-2.666666667, 0.6666666667}

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