5v^2+7v-12=0

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Solution for 5v^2+7v-12=0 equation:


Simplifying
5v2 + 7v + -12 = 0

Reorder the terms:
-12 + 7v + 5v2 = 0

Solving
-12 + 7v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-12 + -5v)(1 + -1v) = 0

Subproblem 1

Set the factor '(-12 + -5v)' equal to zero and attempt to solve: Simplifying -12 + -5v = 0 Solving -12 + -5v = 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 + -5v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = 0 + 12 -5v = 0 + 12 Combine like terms: 0 + 12 = 12 -5v = 12 Divide each side by '-5'. v = -2.4 Simplifying v = -2.4

Subproblem 2

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

Solution

v = {-2.4, 1}

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