-6v^2-10v+56=0

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Solution for -6v^2-10v+56=0 equation:


Simplifying
-6v2 + -10v + 56 = 0

Reorder the terms:
56 + -10v + -6v2 = 0

Solving
56 + -10v + -6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + -5v + -3v2) = 0

Factor a trinomial.
2((7 + -3v)(4 + v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + -3v)' equal to zero and attempt to solve: Simplifying 7 + -3v = 0 Solving 7 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 0 + -7 -3v = 0 + -7 Combine like terms: 0 + -7 = -7 -3v = -7 Divide each side by '-3'. v = 2.333333333 Simplifying v = 2.333333333

Subproblem 2

Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4

Solution

v = {2.333333333, -4}

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