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Simplifying 5p2 + -150p = 0 Reorder the terms: -150p + 5p2 = 0 Solving -150p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-30 + p) = 0 Ignore the factor 5.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 '(-30 + p)' equal to zero and attempt to solve: Simplifying -30 + p = 0 Solving -30 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + p = 0 + 30 Combine like terms: -30 + 30 = 0 0 + p = 0 + 30 p = 0 + 30 Combine like terms: 0 + 30 = 30 p = 30 Simplifying p = 30Solution
p = {0, 30}
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