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Simplifying 0 = 6p(3p + -7) Reorder the terms: 0 = 6p(-7 + 3p) 0 = (-7 * 6p + 3p * 6p) 0 = (-42p + 18p2) Solving 0 = -42p + 18p2 Solving for variable 'p'. Remove the zero: 42p + -18p2 = -42p + 18p2 + 42p + -18p2 Reorder the terms: 42p + -18p2 = -42p + 42p + 18p2 + -18p2 Combine like terms: -42p + 42p = 0 42p + -18p2 = 0 + 18p2 + -18p2 42p + -18p2 = 18p2 + -18p2 Combine like terms: 18p2 + -18p2 = 0 42p + -18p2 = 0 Factor out the Greatest Common Factor (GCF), '6p'. 6p(7 + -3p) = 0 Ignore the factor 6.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 '(7 + -3p)' equal to zero and attempt to solve: Simplifying 7 + -3p = 0 Solving 7 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 0 + -7 -3p = 0 + -7 Combine like terms: 0 + -7 = -7 -3p = -7 Divide each side by '-3'. p = 2.333333333 Simplifying p = 2.333333333Solution
p = {0, 2.333333333}
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