3v^2+30v-72=0

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Solution for 3v^2+30v-72=0 equation:


Simplifying
3v2 + 30v + -72 = 0

Reorder the terms:
-72 + 30v + 3v2 = 0

Solving
-72 + 30v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 10v + v2) = 0

Factor a trinomial.
3((-12 + -1v)(2 + -1v)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-12 + -1v)' equal to zero and attempt to solve: Simplifying -12 + -1v = 0 Solving -12 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1v = 0 + 12 -1v = 0 + 12 Combine like terms: 0 + 12 = 12 -1v = 12 Divide each side by '-1'. v = -12 Simplifying v = -12

Subproblem 2

Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2

Solution

v = {-12, 2}

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