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Simplifying (40 + -1x)(16 + -1x) = 340 Multiply (40 + -1x) * (16 + -1x) (40(16 + -1x) + -1x * (16 + -1x)) = 340 ((16 * 40 + -1x * 40) + -1x * (16 + -1x)) = 340 ((640 + -40x) + -1x * (16 + -1x)) = 340 (640 + -40x + (16 * -1x + -1x * -1x)) = 340 (640 + -40x + (-16x + 1x2)) = 340 Combine like terms: -40x + -16x = -56x (640 + -56x + 1x2) = 340 Solving 640 + -56x + 1x2 = 340 Solving for variable 'x'. Reorder the terms: 640 + -340 + -56x + 1x2 = 340 + -340 Combine like terms: 640 + -340 = 300 300 + -56x + 1x2 = 340 + -340 Combine like terms: 340 + -340 = 0 300 + -56x + 1x2 = 0 Factor a trinomial. (6 + -1x)(50 + -1x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {6, 50}
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