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Simplifying 3p2 + -2p + 12 = 12 Reorder the terms: 12 + -2p + 3p2 = 12 Add '-12' to each side of the equation. 12 + -2p + -12 + 3p2 = 12 + -12 Reorder the terms: 12 + -12 + -2p + 3p2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -2p + 3p2 = 12 + -12 -2p + 3p2 = 12 + -12 Combine like terms: 12 + -12 = 0 -2p + 3p2 = 0 Solving -2p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-2 + 3p) = 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 '(-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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