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Simplifying (120 + -1p)(p + -40) = 0 Reorder the terms: (120 + -1p)(-40 + p) = 0 Multiply (120 + -1p) * (-40 + p) (120(-40 + p) + -1p * (-40 + p)) = 0 ((-40 * 120 + p * 120) + -1p * (-40 + p)) = 0 ((-4800 + 120p) + -1p * (-40 + p)) = 0 (-4800 + 120p + (-40 * -1p + p * -1p)) = 0 (-4800 + 120p + (40p + -1p2)) = 0 Combine like terms: 120p + 40p = 160p (-4800 + 160p + -1p2) = 0 Solving -4800 + 160p + -1p2 = 0 Solving for variable 'p'. Factor a trinomial. (-120 + p)(40 + -1p) = 0Subproblem 1
Set the factor '(-120 + p)' equal to zero and attempt to solve: Simplifying -120 + p = 0 Solving -120 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + p = 0 + 120 Combine like terms: -120 + 120 = 0 0 + p = 0 + 120 p = 0 + 120 Combine like terms: 0 + 120 = 120 p = 120 Simplifying p = 120Subproblem 2
Set the factor '(40 + -1p)' equal to zero and attempt to solve: Simplifying 40 + -1p = 0 Solving 40 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1p = 0 + -40 -1p = 0 + -40 Combine like terms: 0 + -40 = -40 -1p = -40 Divide each side by '-1'. p = 40 Simplifying p = 40Solution
p = {120, 40}
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