8v^2+30v-27=0

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Solution for 8v^2+30v-27=0 equation:


Simplifying
8v2 + 30v + -27 = 0

Reorder the terms:
-27 + 30v + 8v2 = 0

Solving
-27 + 30v + 8v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -2v)(3 + -4v) = 0

Subproblem 1

Set the factor '(-9 + -2v)' equal to zero and attempt to solve: Simplifying -9 + -2v = 0 Solving -9 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2v = 0 + 9 -2v = 0 + 9 Combine like terms: 0 + 9 = 9 -2v = 9 Divide each side by '-2'. v = -4.5 Simplifying v = -4.5

Subproblem 2

Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 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 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75

Solution

v = {-4.5, 0.75}

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