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Simplifying (3x * 3x) + 11x = 20 Reorder the terms for easier multiplication: (3 * 3x * x) + 11x = 20 Multiply 3 * 3 (9x * x) + 11x = 20 Multiply x * x (9x2) + 11x = 20 Reorder the terms: 11x + (9x2) = 20 Solving 11x + (9x2) = 20 Solving for variable 'x'. Reorder the terms: -20 + 11x + (9x2) = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 11x + (9x2) = 0 Factor a trinomial. (-20 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(-20 + -9x)' equal to zero and attempt to solve: Simplifying -20 + -9x = 0 Solving -20 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -9x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = 0 + 20 -9x = 0 + 20 Combine like terms: 0 + 20 = 20 -9x = 20 Divide each side by '-9'. x = -2.222222222 Simplifying x = -2.222222222Subproblem 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 = {-2.222222222, 1}
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