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Simplifying 50v3 + -135v2 + -140v = 0 Reorder the terms: -140v + -135v2 + 50v3 = 0 Solving -140v + -135v2 + 50v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(-28 + -27v + 10v2) = 0 Factor a trinomial. 5v((-4 + -5v)(7 + -2v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8Subproblem 3
Set the factor '(7 + -2v)' equal to zero and attempt to solve: Simplifying 7 + -2v = 0 Solving 7 + -2v = 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 + -2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2v = 0 + -7 -2v = 0 + -7 Combine like terms: 0 + -7 = -7 -2v = -7 Divide each side by '-2'. v = 3.5 Simplifying v = 3.5Solution
v = {0, -0.8, 3.5}
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