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Simplifying -1p(-5p) + -3p = 0 Remove parenthesis around (-5p) -1p * -5p + -3p = 0 Reorder the terms for easier multiplication: -1 * -5p * p + -3p = 0 Multiply -1 * -5 5p * p + -3p = 0 Multiply p * p 5p2 + -3p = 0 Reorder the terms: -3p + 5p2 = 0 Solving -3p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-3 + 5p) = 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 '(-3 + 5p)' equal to zero and attempt to solve: Simplifying -3 + 5p = 0 Solving -3 + 5p = 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 + 5p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5p = 0 + 3 5p = 0 + 3 Combine like terms: 0 + 3 = 3 5p = 3 Divide each side by '5'. p = 0.6 Simplifying p = 0.6Solution
p = {0, 0.6}
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