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Simplifying -4v2 + 32v = 64 Reorder the terms: 32v + -4v2 = 64 Solving 32v + -4v2 = 64 Solving for variable 'v'. Reorder the terms: -64 + 32v + -4v2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 32v + -4v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-16 + 8v + -1v2) = 0 Factor a trinomial. 4((-4 + v)(4 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 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 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 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 = {4, 4}
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