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Simplifying 6p2 + -16p = 0 Reorder the terms: -16p + 6p2 = 0 Solving -16p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(-8 + 3p) = 0 Ignore the factor 2.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 '(-8 + 3p)' equal to zero and attempt to solve: Simplifying -8 + 3p = 0 Solving -8 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = 0 + 8 3p = 0 + 8 Combine like terms: 0 + 8 = 8 3p = 8 Divide each side by '3'. p = 2.666666667 Simplifying p = 2.666666667Solution
p = {0, 2.666666667}
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