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Simplifying 11x + 13x(19 + -1x) = 209 11x + (19 * 13x + -1x * 13x) = 209 11x + (247x + -13x2) = 209 Combine like terms: 11x + 247x = 258x 258x + -13x2 = 209 Solving 258x + -13x2 = 209 Solving for variable 'x'. Reorder the terms: -209 + 258x + -13x2 = 209 + -209 Combine like terms: 209 + -209 = 0 -209 + 258x + -13x2 = 0 Factor a trinomial. (-19 + x)(11 + -13x) = 0Subproblem 1
Set the factor '(-19 + x)' equal to zero and attempt to solve: Simplifying -19 + x = 0 Solving -19 + x = 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 + x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x = 0 + 19 x = 0 + 19 Combine like terms: 0 + 19 = 19 x = 19 Simplifying x = 19Subproblem 2
Set the factor '(11 + -13x)' equal to zero and attempt to solve: Simplifying 11 + -13x = 0 Solving 11 + -13x = 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 + -13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -13x = 0 + -11 -13x = 0 + -11 Combine like terms: 0 + -11 = -11 -13x = -11 Divide each side by '-13'. x = 0.8461538462 Simplifying x = 0.8461538462Solution
x = {19, 0.8461538462}
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