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Simplifying 10v2 + -150v + -160 = 0 Reorder the terms: -160 + -150v + 10v2 = 0 Solving -160 + -150v + 10v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '10'. 10(-16 + -15v + v2) = 0 Factor a trinomial. 10((-1 + -1v)(16 + -1v)) = 0 Ignore the factor 10.Subproblem 1
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 = -1Subproblem 2
Set the factor '(16 + -1v)' equal to zero and attempt to solve: Simplifying 16 + -1v = 0 Solving 16 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1v = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1v = 0 + -16 -1v = 0 + -16 Combine like terms: 0 + -16 = -16 -1v = -16 Divide each side by '-1'. v = 16 Simplifying v = 16Solution
v = {-1, 16}
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