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Simplifying 4v7 + -32v6 + 64v5 = 0 Reorder the terms: 64v5 + -32v6 + 4v7 = 0 Solving 64v5 + -32v6 + 4v7 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v5'. 4v5(16 + -8v + v2) = 0 Factor a trinomial. 4v5((4 + -1v)(4 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'v5' equal to zero and attempt to solve: Simplifying v5 = 0 Solving v5 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = 4Subproblem 3
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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