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Simplifying -7p2 + -3p = -3p(p + -7) Reorder the terms: -3p + -7p2 = -3p(p + -7) Reorder the terms: -3p + -7p2 = -3p(-7 + p) -3p + -7p2 = (-7 * -3p + p * -3p) -3p + -7p2 = (21p + -3p2) Solving -3p + -7p2 = 21p + -3p2 Solving for variable 'p'. Reorder the terms: -3p + -21p + -7p2 + 3p2 = 21p + -3p2 + -21p + 3p2 Combine like terms: -3p + -21p = -24p -24p + -7p2 + 3p2 = 21p + -3p2 + -21p + 3p2 Combine like terms: -7p2 + 3p2 = -4p2 -24p + -4p2 = 21p + -3p2 + -21p + 3p2 Reorder the terms: -24p + -4p2 = 21p + -21p + -3p2 + 3p2 Combine like terms: 21p + -21p = 0 -24p + -4p2 = 0 + -3p2 + 3p2 -24p + -4p2 = -3p2 + 3p2 Combine like terms: -3p2 + 3p2 = 0 -24p + -4p2 = 0 Factor out the Greatest Common Factor (GCF), '-4p'. -4p(6 + p) = 0 Ignore the factor -4.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 '(6 + p)' equal to zero and attempt to solve: Simplifying 6 + p = 0 Solving 6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + p = 0 + -6 p = 0 + -6 Combine like terms: 0 + -6 = -6 p = -6 Simplifying p = -6Solution
p = {0, -6}
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