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Simplifying 3p2 + -42p = 0 Reorder the terms: -42p + 3p2 = 0 Solving -42p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-14 + p) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
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, 14}
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