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Simplifying 12p2 = 30p Solving 12p2 = 30p Solving for variable 'p'. Reorder the terms: -30p + 12p2 = 30p + -30p Combine like terms: 30p + -30p = 0 -30p + 12p2 = 0 Factor out the Greatest Common Factor (GCF), '6p'. 6p(-5 + 2p) = 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 '(-5 + 2p)' equal to zero and attempt to solve: Simplifying -5 + 2p = 0 Solving -5 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2p = 0 + 5 2p = 0 + 5 Combine like terms: 0 + 5 = 5 2p = 5 Divide each side by '2'. p = 2.5 Simplifying p = 2.5Solution
p = {0, 2.5}
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