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Simplifying 0 = 4p2 + -1p Reorder the terms: 0 = -1p + 4p2 Solving 0 = -1p + 4p2 Solving for variable 'p'. Remove the zero: p + -4p2 = -1p + 4p2 + p + -4p2 Reorder the terms: p + -4p2 = -1p + p + 4p2 + -4p2 Combine like terms: -1p + p = 0 p + -4p2 = 0 + 4p2 + -4p2 p + -4p2 = 4p2 + -4p2 Combine like terms: 4p2 + -4p2 = 0 p + -4p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(1 + -4p) = 0Subproblem 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 + -4p)' equal to zero and attempt to solve: Simplifying 1 + -4p = 0 Solving 1 + -4p = 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 + -4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = 0 + -1 -4p = 0 + -1 Combine like terms: 0 + -1 = -1 -4p = -1 Divide each side by '-4'. p = 0.25 Simplifying p = 0.25Solution
p = {0, 0.25}
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