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Simplifying 3 + -6x2 = 8 + -17x Solving 3 + -6x2 = 8 + -17x Solving for variable 'x'. Reorder the terms: 3 + -8 + 17x + -6x2 = 8 + -17x + -8 + 17x Combine like terms: 3 + -8 = -5 -5 + 17x + -6x2 = 8 + -17x + -8 + 17x Reorder the terms: -5 + 17x + -6x2 = 8 + -8 + -17x + 17x Combine like terms: 8 + -8 = 0 -5 + 17x + -6x2 = 0 + -17x + 17x -5 + 17x + -6x2 = -17x + 17x Combine like terms: -17x + 17x = 0 -5 + 17x + -6x2 = 0 Factor a trinomial. (-5 + 2x)(1 + -3x) = 0Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {2.5, 0.3333333333}
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