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Simplifying (p + -4)(p + -3) = 0 Reorder the terms: (-4 + p)(p + -3) = 0 Reorder the terms: (-4 + p)(-3 + p) = 0 Multiply (-4 + p) * (-3 + p) (-4(-3 + p) + p(-3 + p)) = 0 ((-3 * -4 + p * -4) + p(-3 + p)) = 0 ((12 + -4p) + p(-3 + p)) = 0 (12 + -4p + (-3 * p + p * p)) = 0 (12 + -4p + (-3p + p2)) = 0 Combine like terms: -4p + -3p = -7p (12 + -7p + p2) = 0 Solving 12 + -7p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + -1p)(4 + -1p) = 0Subproblem 1
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {3, 4}
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