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Simplifying 40p3 + -70p2 = 0 Reorder the terms: -70p2 + 40p3 = 0 Solving -70p2 + 40p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '10p2'. 10p2(-7 + 4p) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(-7 + 4p)' equal to zero and attempt to solve: Simplifying -7 + 4p = 0 Solving -7 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4p = 0 + 7 4p = 0 + 7 Combine like terms: 0 + 7 = 7 4p = 7 Divide each side by '4'. p = 1.75 Simplifying p = 1.75Solution
p = {0, 1.75}
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