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Simplifying 15v2 + 80v = 320 Reorder the terms: 80v + 15v2 = 320 Solving 80v + 15v2 = 320 Solving for variable 'v'. Reorder the terms: -320 + 80v + 15v2 = 320 + -320 Combine like terms: 320 + -320 = 0 -320 + 80v + 15v2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-64 + 16v + 3v2) = 0 Factor a trinomial. 5((-8 + -1v)(8 + -3v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667Solution
v = {-8, 2.666666667}
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