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