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Simplifying 24p2 + -12p = 24p + -12p2 Reorder the terms: -12p + 24p2 = 24p + -12p2 Solving -12p + 24p2 = 24p + -12p2 Solving for variable 'p'. Reorder the terms: -12p + -24p + 24p2 + 12p2 = 24p + -12p2 + -24p + 12p2 Combine like terms: -12p + -24p = -36p -36p + 24p2 + 12p2 = 24p + -12p2 + -24p + 12p2 Combine like terms: 24p2 + 12p2 = 36p2 -36p + 36p2 = 24p + -12p2 + -24p + 12p2 Reorder the terms: -36p + 36p2 = 24p + -24p + -12p2 + 12p2 Combine like terms: 24p + -24p = 0 -36p + 36p2 = 0 + -12p2 + 12p2 -36p + 36p2 = -12p2 + 12p2 Combine like terms: -12p2 + 12p2 = 0 -36p + 36p2 = 0 Factor out the Greatest Common Factor (GCF), '36p'. 36p(-1 + p) = 0 Ignore the factor 36.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 '(-1 + p)' equal to zero and attempt to solve: Simplifying -1 + p = 0 Solving -1 + p = 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 + p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + p = 0 + 1 p = 0 + 1 Combine like terms: 0 + 1 = 1 p = 1 Simplifying p = 1Solution
p = {0, 1}
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