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Simplifying 4p2 = 6p Solving 4p2 = 6p Solving for variable 'p'. Reorder the terms: -6p + 4p2 = 6p + -6p Combine like terms: 6p + -6p = 0 -6p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(-3 + 2p) = 0 Ignore the factor 2.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 '(-3 + 2p)' equal to zero and attempt to solve: Simplifying -3 + 2p = 0 Solving -3 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 0 + 3 2p = 0 + 3 Combine like terms: 0 + 3 = 3 2p = 3 Divide each side by '2'. p = 1.5 Simplifying p = 1.5Solution
p = {0, 1.5}
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