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Simplifying 231 = 2x2 + -1x Reorder the terms: 231 = -1x + 2x2 Solving 231 = -1x + 2x2 Solving for variable 'x'. Reorder the terms: 231 + x + -2x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 231 + x + -2x2 = 0 + 2x2 + -2x2 231 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 231 + x + -2x2 = 0 Factor a trinomial. (11 + -1x)(21 + 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 '(21 + 2x)' equal to zero and attempt to solve: Simplifying 21 + 2x = 0 Solving 21 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 0 + -21 2x = 0 + -21 Combine like terms: 0 + -21 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5Solution
x = {11, -10.5}
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