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Simplifying 209 = (2x + -3) * x Reorder the terms: 209 = (-3 + 2x) * x Reorder the terms for easier multiplication: 209 = x(-3 + 2x) 209 = (-3 * x + 2x * x) 209 = (-3x + 2x2) Solving 209 = -3x + 2x2 Solving for variable 'x'. Reorder the terms: 209 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 209 + 3x + -2x2 = 0 + 2x2 + -2x2 209 + 3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 209 + 3x + -2x2 = 0 Factor a trinomial. (11 + -1x)(19 + 2x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(19 + 2x)' equal to zero and attempt to solve: Simplifying 19 + 2x = 0 Solving 19 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5Solution
x = {11, -9.5}
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