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Simplifying P(6p + 3) = 0 Reorder the terms: P(3 + 6p) = 0 (3 * P + 6p * P) = 0 (3P + 6pP) = 0 Solving 3P + 6pP = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3P'. 3P(1 + 2p) = 0 Ignore the factor 3.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 + 2p)' equal to zero and attempt to solve: Simplifying 1 + 2p = 0 Solving 1 + 2p = 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 + 2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 0 + -1 2p = 0 + -1 Combine like terms: 0 + -1 = -1 2p = -1 Add '-2p' to each side of the equation. 2p + -2p = -1 + -2p Combine like terms: 2p + -2p = 0 0 = -1 + -2p Simplifying 0 = -1 + -2p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
P = {0}
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