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Simplifying 42p2x + -306px + 324x = 0 Reorder the terms: -306px + 42p2x + 324x = 0 Solving -306px + 42p2x + 324x = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-51p + 7p2 + 54) = 0 Factor a trinomial. 6x((p + -6)(7p + -9)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(p + -6)' equal to zero and attempt to solve: Simplifying p + -6 = 0 Reorder the terms: -6 + p = 0 Solving -6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + p = 0 + 6 p = 0 + 6 Combine like terms: 0 + 6 = 6 p = 6 Simplifying p = 6Subproblem 3
Set the factor '(7p + -9)' equal to zero and attempt to solve: Simplifying 7p + -9 = 0 Reorder the terms: -9 + 7p = 0 Solving -9 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7p = 0 + 9 7p = 0 + 9 Combine like terms: 0 + 9 = 9 7p = 9 Divide each side by '7'. p = 1.285714286 Simplifying p = 1.285714286Solution
p = {6, 1.285714286}
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