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Simplifying 42p2 + -11p3 + -1p4 = 0 Solving 42p2 + -11p3 + -1p4 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2'. p2(42 + -11p + -1p2) = 0 Factor a trinomial. p2((3 + -1p)(14 + p)) = 0Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Subproblem 3
Set the factor '(14 + p)' equal to zero and attempt to solve: Simplifying 14 + p = 0 Solving 14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + p = 0 + -14 p = 0 + -14 Combine like terms: 0 + -14 = -14 p = -14 Simplifying p = -14Solution
p = {0, 3, -14}
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