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Simplifying 10p(4p + -9) = 0 Reorder the terms: 10p(-9 + 4p) = 0 (-9 * 10p + 4p * 10p) = 0 (-90p + 40p2) = 0 Solving -90p + 40p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '10p'. 10p(-9 + 4p) = 0 Ignore the factor 10.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 '(-9 + 4p)' equal to zero and attempt to solve: Simplifying -9 + 4p = 0 Solving -9 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4p = 0 + 9 4p = 0 + 9 Combine like terms: 0 + 9 = 9 4p = 9 Divide each side by '4'. p = 2.25 Simplifying p = 2.25Solution
p = {0, 2.25}
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