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Simplifying 3x2 + 37x + 17 = 255 Reorder the terms: 17 + 37x + 3x2 = 255 Solving 17 + 37x + 3x2 = 255 Solving for variable 'x'. Reorder the terms: 17 + -255 + 37x + 3x2 = 255 + -255 Combine like terms: 17 + -255 = -238 -238 + 37x + 3x2 = 255 + -255 Combine like terms: 255 + -255 = 0 -238 + 37x + 3x2 = 0 Factor a trinomial. (-17 + -1x)(14 + -3x) = 0Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve: Simplifying 14 + -3x = 0 Solving 14 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 0 + -14 -3x = 0 + -14 Combine like terms: 0 + -14 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667Solution
x = {-17, 4.666666667}
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