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Simplifying 21x2 + 179x + 274 = 0 Reorder the terms: 274 + 179x + 21x2 = 0 Solving 274 + 179x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (137 + 21x)(2 + x) = 0Subproblem 1
Set the factor '(137 + 21x)' equal to zero and attempt to solve: Simplifying 137 + 21x = 0 Solving 137 + 21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-137' to each side of the equation. 137 + -137 + 21x = 0 + -137 Combine like terms: 137 + -137 = 0 0 + 21x = 0 + -137 21x = 0 + -137 Combine like terms: 0 + -137 = -137 21x = -137 Divide each side by '21'. x = -6.523809524 Simplifying x = -6.523809524Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-6.523809524, -2}
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