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Simplifying 17x2 + -100x = -132 Reorder the terms: -100x + 17x2 = -132 Solving -100x + 17x2 = -132 Solving for variable 'x'. Reorder the terms: 132 + -100x + 17x2 = -132 + 132 Combine like terms: -132 + 132 = 0 132 + -100x + 17x2 = 0 Factor a trinomial. (2 + -1x)(66 + -17x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(66 + -17x)' equal to zero and attempt to solve: Simplifying 66 + -17x = 0 Solving 66 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -17x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -17x = 0 + -66 -17x = 0 + -66 Combine like terms: 0 + -66 = -66 -17x = -66 Divide each side by '-17'. x = 3.882352941 Simplifying x = 3.882352941Solution
x = {2, 3.882352941}
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