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Simplifying -1x(-2x + -3) = 209 Reorder the terms: -1x(-3 + -2x) = 209 (-3 * -1x + -2x * -1x) = 209 (3x + 2x2) = 209 Solving 3x + 2x2 = 209 Solving for variable 'x'. Reorder the terms: -209 + 3x + 2x2 = 209 + -209 Combine like terms: 209 + -209 = 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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