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Simplifying (21p)(21p) + 14p = 0 Remove parenthesis around (21p) 21p(21p) + 14p = 0 Remove parenthesis around (21p) 21p * 21p + 14p = 0 Reorder the terms for easier multiplication: 21 * 21p * p + 14p = 0 Multiply 21 * 21 441p * p + 14p = 0 Multiply p * p 441p2 + 14p = 0 Reorder the terms: 14p + 441p2 = 0 Solving 14p + 441p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '7p'. 7p(2 + 63p) = 0 Ignore the factor 7.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 '(2 + 63p)' equal to zero and attempt to solve: Simplifying 2 + 63p = 0 Solving 2 + 63p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 63p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 63p = 0 + -2 63p = 0 + -2 Combine like terms: 0 + -2 = -2 63p = -2 Divide each side by '63'. p = -0.03174603175 Simplifying p = -0.03174603175Solution
p = {0, -0.03174603175}
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