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Simplifying 32p3 + -56p = 0 Reorder the terms: -56p + 32p3 = 0 Solving -56p + 32p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8p'. 8p(-7 + 4p2) = 0 Ignore the factor 8.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 '(-7 + 4p2)' equal to zero and attempt to solve: Simplifying -7 + 4p2 = 0 Solving -7 + 4p2 = 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 + 4p2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4p2 = 0 + 7 4p2 = 0 + 7 Combine like terms: 0 + 7 = 7 4p2 = 7 Divide each side by '4'. p2 = 1.75 Simplifying p2 = 1.75 Take the square root of each side: p = {-1.322875656, 1.322875656}Solution
p = {0, -1.322875656, 1.322875656}
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