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Simplifying 256 + -1v4p4 = 0 Solving 256 + -1p4v4 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-256' to each side of the equation. 256 + -256 + -1p4v4 = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -1p4v4 = 0 + -256 -1p4v4 = 0 + -256 Combine like terms: 0 + -256 = -256 -1p4v4 = -256 Divide each side by '-1v4'. p4 = 256v-4 Simplifying p4 = 256v-4 Combine like terms: 256v-4 + -256v-4 = 0 p4 + -256v-4 = 0 Factor out the Greatest Common Factor (GCF), 'v-4'. v-4(p4v4 + -256) = 0 Factor a difference between two squares. v-4((p2v2 + 16)(p2v2 + -16)) = 0 Factor a difference between two squares. v-4((p2v2 + 16)((pv + 4)(pv + -4))) = 0Subproblem 1
Set the factor 'v-4' equal to zero and attempt to solve: Simplifying v-4 = 0 Solving v-4 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1v-4' to each side of the equation. v-4 + -1v-4 = 0 + -1v-4 Remove the zero: 0 = -1v-4 Simplifying 0 = -1v-4 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 '(p2v2 + 16)' equal to zero and attempt to solve: Simplifying p2v2 + 16 = 0 Reorder the terms: 16 + p2v2 = 0 Solving 16 + p2v2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + p2v2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + p2v2 = 0 + -16 p2v2 = 0 + -16 Combine like terms: 0 + -16 = -16 p2v2 = -16 Divide each side by 'v2'. p2 = -16v-2 Simplifying p2 = -16v-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(pv + 4)' equal to zero and attempt to solve: Simplifying pv + 4 = 0 Reorder the terms: 4 + pv = 0 Solving 4 + pv = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + pv = 0 + -4 Combine like terms: 4 + -4 = 0 0 + pv = 0 + -4 pv = 0 + -4 Combine like terms: 0 + -4 = -4 pv = -4 Divide each side by 'v'. p = -4v-1 Simplifying p = -4v-1Subproblem 4
Set the factor '(pv + -4)' equal to zero and attempt to solve: Simplifying pv + -4 = 0 Reorder the terms: -4 + pv = 0 Solving -4 + pv = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + pv = 0 + 4 Combine like terms: -4 + 4 = 0 0 + pv = 0 + 4 pv = 0 + 4 Combine like terms: 0 + 4 = 4 pv = 4 Divide each side by 'v'. p = 4v-1 Simplifying p = 4v-1Solution
p = {-4v-1, 4v-1}
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