12v^2-7v-12=

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Solution for 12v^2-7v-12= equation:


Simplifying
12v2 + -7v + -12 = 0

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

Solving
-12 + -7v + 12v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333

Solution

v = {-0.75, 1.333333333}

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