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Simplifying 10(p3 + -196p) = 0 Reorder the terms: 10(-196p + p3) = 0 (-196p * 10 + p3 * 10) = 0 (-1960p + 10p3) = 0 Solving -1960p + 10p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '10p'. 10p(-196 + p2) = 0 Factor a difference between two squares. 10p((14 + p)(-14 + p)) = 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 '(14 + p)' equal to zero and attempt to solve: Simplifying 14 + p = 0 Solving 14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + p = 0 + -14 p = 0 + -14 Combine like terms: 0 + -14 = -14 p = -14 Simplifying p = -14Subproblem 3
Set the factor '(-14 + p)' equal to zero and attempt to solve: Simplifying -14 + p = 0 Solving -14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + p = 0 + 14 p = 0 + 14 Combine like terms: 0 + 14 = 14 p = 14 Simplifying p = 14Solution
p = {0, -14, 14}
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