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Simplifying 2p + (-4px + -4p) + -2p(p + -1) = 0 Reorder the terms: 2p + (-4p + -4px) + -2p(p + -1) = 0 Remove parenthesis around (-4p + -4px) 2p + -4p + -4px + -2p(p + -1) = 0 Reorder the terms: 2p + -4p + -4px + -2p(-1 + p) = 0 2p + -4p + -4px + (-1 * -2p + p * -2p) = 0 2p + -4p + -4px + (2p + -2p2) = 0 Reorder the terms: 2p + -4p + 2p + -4px + -2p2 = 0 Combine like terms: 2p + -4p = -2p -2p + 2p + -4px + -2p2 = 0 Combine like terms: -2p + 2p = 0 0 + -4px + -2p2 = 0 -4px + -2p2 = 0 Solving -4px + -2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-2p'. -2p(2x + p) = 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 '(2x + p)' equal to zero and attempt to solve: Simplifying 2x + p = 0 Reorder the terms: p + 2x = 0 Solving p + 2x = 0 Move all terms containing p to the left, all other terms to the right. Add '-2x' to each side of the equation. p + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 p + 0 = 0 + -2x p = 0 + -2x Remove the zero: p = -2x Simplifying p = -2xSolution
p = {0, -2x}
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