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Simplifying 2x2 + -39x + 189 = 0 Reorder the terms: 189 + -39x + 2x2 = 0 Solving 189 + -39x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(21 + -2x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 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 = {9, 10.5}
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