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Simplifying 2v2 + -28v + -64 = 0 Reorder the terms: -64 + -28v + 2v2 = 0 Solving -64 + -28v + 2v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + -14v + v2) = 0 Factor a trinomial. 2((-2 + -1v)(16 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve: Simplifying -2 + -1v = 0 Solving -2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1v = 0 + 2 -1v = 0 + 2 Combine like terms: 0 + 2 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2Subproblem 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 = {-2, 16}
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