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Simplifying 8p2 = 6p + -1p2 Solving 8p2 = 6p + -1p2 Solving for variable 'p'. Reorder the terms: -6p + 8p2 + p2 = 6p + -1p2 + -6p + p2 Combine like terms: 8p2 + p2 = 9p2 -6p + 9p2 = 6p + -1p2 + -6p + p2 Reorder the terms: -6p + 9p2 = 6p + -6p + -1p2 + p2 Combine like terms: 6p + -6p = 0 -6p + 9p2 = 0 + -1p2 + p2 -6p + 9p2 = -1p2 + p2 Combine like terms: -1p2 + p2 = 0 -6p + 9p2 = 0 Factor out the Greatest Common Factor (GCF), '3p'. 3p(-2 + 3p) = 0 Ignore the factor 3.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 '(-2 + 3p)' equal to zero and attempt to solve: Simplifying -2 + 3p = 0 Solving -2 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3p = 0 + 2 3p = 0 + 2 Combine like terms: 0 + 2 = 2 3p = 2 Divide each side by '3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {0, 0.6666666667}
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