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Simplifying A(A + 40) = 225 Reorder the terms: A(40 + A) = 225 (40 * A + A * A) = 225 (40A + A2) = 225 Solving 40A + A2 = 225 Solving for variable 'A'. Reorder the terms: -225 + 40A + A2 = 225 + -225 Combine like terms: 225 + -225 = 0 -225 + 40A + A2 = 0 Factor a trinomial. (-45 + -1A)(5 + -1A) = 0Subproblem 1
Set the factor '(-45 + -1A)' equal to zero and attempt to solve: Simplifying -45 + -1A = 0 Solving -45 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1A = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1A = 0 + 45 -1A = 0 + 45 Combine like terms: 0 + 45 = 45 -1A = 45 Divide each side by '-1'. A = -45 Simplifying A = -45Subproblem 2
Set the factor '(5 + -1A)' equal to zero and attempt to solve: Simplifying 5 + -1A = 0 Solving 5 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1A = 0 + -5 -1A = 0 + -5 Combine like terms: 0 + -5 = -5 -1A = -5 Divide each side by '-1'. A = 5 Simplifying A = 5Solution
A = {-45, 5}
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