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Simplifying 0 = -6p2 + 1800p Reorder the terms: 0 = 1800p + -6p2 Solving 0 = 1800p + -6p2 Solving for variable 'p'. Remove the zero: -1800p + 6p2 = 1800p + -6p2 + -1800p + 6p2 Reorder the terms: -1800p + 6p2 = 1800p + -1800p + -6p2 + 6p2 Combine like terms: 1800p + -1800p = 0 -1800p + 6p2 = 0 + -6p2 + 6p2 -1800p + 6p2 = -6p2 + 6p2 Combine like terms: -6p2 + 6p2 = 0 -1800p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '6p'. 6p(-300 + p) = 0 Ignore the factor 6.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 '(-300 + p)' equal to zero and attempt to solve: Simplifying -300 + p = 0 Solving -300 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + p = 0 + 300 Combine like terms: -300 + 300 = 0 0 + p = 0 + 300 p = 0 + 300 Combine like terms: 0 + 300 = 300 p = 300 Simplifying p = 300Solution
p = {0, 300}
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