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Simplifying x(22 + -5x) = 17 (22 * x + -5x * x) = 17 (22x + -5x2) = 17 Solving 22x + -5x2 = 17 Solving for variable 'x'. Reorder the terms: -17 + 22x + -5x2 = 17 + -17 Combine like terms: 17 + -17 = 0 -17 + 22x + -5x2 = 0 Factor a trinomial. (-17 + 5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-17 + 5x)' equal to zero and attempt to solve: Simplifying -17 + 5x = 0 Solving -17 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 0 + 17 5x = 0 + 17 Combine like terms: 0 + 17 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {3.4, 1}
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