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Simplifying 0 = 2x2 + 121x + -3630 Reorder the terms: 0 = -3630 + 121x + 2x2 Solving 0 = -3630 + 121x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 3630 = 3630 3630 + -121x + -2x2 = -3630 + 121x + 2x2 + 3630 + -121x + -2x2 Reorder the terms: 3630 + -121x + -2x2 = -3630 + 3630 + 121x + -121x + 2x2 + -2x2 Combine like terms: -3630 + 3630 = 0 3630 + -121x + -2x2 = 0 + 121x + -121x + 2x2 + -2x2 3630 + -121x + -2x2 = 121x + -121x + 2x2 + -2x2 Combine like terms: 121x + -121x = 0 3630 + -121x + -2x2 = 0 + 2x2 + -2x2 3630 + -121x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3630 + -121x + -2x2 = 0 Factor a trinomial. (22 + -1x)(165 + 2x) = 0Subproblem 1
Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Subproblem 2
Set the factor '(165 + 2x)' equal to zero and attempt to solve: Simplifying 165 + 2x = 0 Solving 165 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-165' to each side of the equation. 165 + -165 + 2x = 0 + -165 Combine like terms: 165 + -165 = 0 0 + 2x = 0 + -165 2x = 0 + -165 Combine like terms: 0 + -165 = -165 2x = -165 Divide each side by '2'. x = -82.5 Simplifying x = -82.5Solution
x = {22, -82.5}
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