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Simplifying A(A + 15) = 1000 Reorder the terms: A(15 + A) = 1000 (15 * A + A * A) = 1000 (15A + A2) = 1000 Solving 15A + A2 = 1000 Solving for variable 'A'. Reorder the terms: -1000 + 15A + A2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + 15A + A2 = 0 Factor a trinomial. (-40 + -1A)(25 + -1A) = 0Subproblem 1
Set the factor '(-40 + -1A)' equal to zero and attempt to solve: Simplifying -40 + -1A = 0 Solving -40 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1A = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1A = 0 + 40 -1A = 0 + 40 Combine like terms: 0 + 40 = 40 -1A = 40 Divide each side by '-1'. A = -40 Simplifying A = -40Subproblem 2
Set the factor '(25 + -1A)' equal to zero and attempt to solve: Simplifying 25 + -1A = 0 Solving 25 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1A = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1A = 0 + -25 -1A = 0 + -25 Combine like terms: 0 + -25 = -25 -1A = -25 Divide each side by '-1'. A = 25 Simplifying A = 25Solution
A = {-40, 25}
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