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Simplifying 6v2 + -56 = 10v Reorder the terms: -56 + 6v2 = 10v Solving -56 + 6v2 = 10v Solving for variable 'v'. Reorder the terms: -56 + -10v + 6v2 = 10v + -10v Combine like terms: 10v + -10v = 0 -56 + -10v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + -5v + 3v2) = 0 Factor a trinomial. 2((-7 + -3v)(4 + -1v)) = 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 = -2.333333333Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-2.333333333, 4}
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