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Simplifying x(9x + 41) = 204 Reorder the terms: x(41 + 9x) = 204 (41 * x + 9x * x) = 204 (41x + 9x2) = 204 Solving 41x + 9x2 = 204 Solving for variable 'x'. Reorder the terms: -204 + 41x + 9x2 = 204 + -204 Combine like terms: 204 + -204 = 0 -204 + 41x + 9x2 = 0 Factor a trinomial. (-68 + -9x)(3 + -1x) = 0Subproblem 1
Set the factor '(-68 + -9x)' equal to zero and attempt to solve: Simplifying -68 + -9x = 0 Solving -68 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -9x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -9x = 0 + 68 -9x = 0 + 68 Combine like terms: 0 + 68 = 68 -9x = 68 Divide each side by '-9'. x = -7.555555556 Simplifying x = -7.555555556Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-7.555555556, 3}
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