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Simplifying 4v2 + -128 = -16v Reorder the terms: -128 + 4v2 = -16v Solving -128 + 4v2 = -16v Solving for variable 'v'. Reorder the terms: -128 + 16v + 4v2 = -16v + 16v Combine like terms: -16v + 16v = 0 -128 + 16v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-32 + 4v + v2) = 0 Factor a trinomial. 4((-8 + -1v)(4 + -1v)) = 0 Ignore the factor 4.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 '(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 = 4Solution
v = {-8, 4}
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