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Simplifying AX(AX + 40) = 225 Reorder the terms: AX(40 + AX) = 225 (40 * AX + AX * AX) = 225 (40AX + A2X2) = 225 Solving 40AX + A2X2 = 225 Solving for variable 'A'. Reorder the terms: -225 + 40AX + A2X2 = 225 + -225 Combine like terms: 225 + -225 = 0 -225 + 40AX + A2X2 = 0 Factor a trinomial. (-45 + -1AX)(5 + -1AX) = 0Subproblem 1
Set the factor '(-45 + -1AX)' equal to zero and attempt to solve: Simplifying -45 + -1AX = 0 Solving -45 + -1AX = 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 + -1AX = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1AX = 0 + 45 -1AX = 0 + 45 Combine like terms: 0 + 45 = 45 -1AX = 45 Divide each side by '-1X'. A = -45X-1 Simplifying A = -45X-1Subproblem 2
Set the factor '(5 + -1AX)' equal to zero and attempt to solve: Simplifying 5 + -1AX = 0 Solving 5 + -1AX = 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 + -1AX = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1AX = 0 + -5 -1AX = 0 + -5 Combine like terms: 0 + -5 = -5 -1AX = -5 Divide each side by '-1X'. A = 5X-1 Simplifying A = 5X-1Solution
A = {-45X-1, 5X-1}
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