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Simplifying 3p2 + 7p2 + 5p + -4p = 0 Reorder the terms: 5p + -4p + 3p2 + 7p2 = 0 Combine like terms: 5p + -4p = 1p 1p + 3p2 + 7p2 = 0 Combine like terms: 3p2 + 7p2 = 10p2 1p + 10p2 = 0 Solving 1p + 10p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(1 + 10p) = 0Subproblem 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 '(1 + 10p)' equal to zero and attempt to solve: Simplifying 1 + 10p = 0 Solving 1 + 10p = 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 + 10p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10p = 0 + -1 10p = 0 + -1 Combine like terms: 0 + -1 = -1 10p = -1 Divide each side by '10'. p = -0.1 Simplifying p = -0.1Solution
p = {0, -0.1}
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