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Simplifying 3p(-2p3 + 4p2) = 0 Reorder the terms: 3p(4p2 + -2p3) = 0 (4p2 * 3p + -2p3 * 3p) = 0 (12p3 + -6p4) = 0 Solving 12p3 + -6p4 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6p3'. 6p3(2 + -1p) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'p3' equal to zero and attempt to solve: Simplifying p3 = 0 Solving p3 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p3 = 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 '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {2}
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