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Simplifying 3p2 + 51p = 0 Reorder the terms: 51p + 3p2 = 0 Solving 51p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(17 + 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 '(17 + p)' equal to zero and attempt to solve: Simplifying 17 + p = 0 Solving 17 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + p = 0 + -17 Combine like terms: 17 + -17 = 0 0 + p = 0 + -17 p = 0 + -17 Combine like terms: 0 + -17 = -17 p = -17 Simplifying p = -17Solution
p = {0, -17}
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