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Simplifying 17x2 + -139x + 270 = 0 Reorder the terms: 270 + -139x + 17x2 = 0 Solving 270 + -139x + 17x2 = 0 Solving for variable 'x'. Factor a trinomial. (54 + -17x)(5 + -1x) = 0Subproblem 1
Set the factor '(54 + -17x)' equal to zero and attempt to solve: Simplifying 54 + -17x = 0 Solving 54 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -17x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -17x = 0 + -54 -17x = 0 + -54 Combine like terms: 0 + -54 = -54 -17x = -54 Divide each side by '-17'. x = 3.176470588 Simplifying x = 3.176470588Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {3.176470588, 5}
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