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Simplifying p2 + -4p + 3 = 3 Reorder the terms: 3 + -4p + p2 = 3 Add '-3' to each side of the equation. 3 + -4p + -3 + p2 = 3 + -3 Reorder the terms: 3 + -3 + -4p + p2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -4p + p2 = 3 + -3 -4p + p2 = 3 + -3 Combine like terms: 3 + -3 = 0 -4p + p2 = 0 Solving -4p + p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-4 + 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 '(-4 + p)' equal to zero and attempt to solve: Simplifying -4 + p = 0 Solving -4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + p = 0 + 4 p = 0 + 4 Combine like terms: 0 + 4 = 4 p = 4 Simplifying p = 4Solution
p = {0, 4}
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