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Simplifying 8v2 + -192 = 16v Reorder the terms: -192 + 8v2 = 16v Solving -192 + 8v2 = 16v Solving for variable 'v'. Reorder the terms: -192 + -16v + 8v2 = 16v + -16v Combine like terms: 16v + -16v = 0 -192 + -16v + 8v2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-24 + -2v + v2) = 0 Factor a trinomial. 8((-4 + -1v)(6 + -1v)) = 0 Ignore the factor 8.Subproblem 1
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 = -4Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {-4, 6}
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