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Simplifying 3p4(7p2 + -12p + 5) = 0 Reorder the terms: 3p4(5 + -12p + 7p2) = 0 (5 * 3p4 + -12p * 3p4 + 7p2 * 3p4) = 0 (15p4 + -36p5 + 21p6) = 0 Solving 15p4 + -36p5 + 21p6 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p4'. 3p4(5 + -12p + 7p2) = 0 Factor a trinomial. 3p4((5 + -7p)(1 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'p4' equal to zero and attempt to solve: Simplifying p4 = 0 Solving p4 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p4 = 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 '(5 + -7p)' equal to zero and attempt to solve: Simplifying 5 + -7p = 0 Solving 5 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7p = 0 + -5 -7p = 0 + -5 Combine like terms: 0 + -5 = -5 -7p = -5 Divide each side by '-7'. p = 0.7142857143 Simplifying p = 0.7142857143Subproblem 3
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {0.7142857143, 1}
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