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Simplifying (18x2 + -17x + 14) + -1(-6x2 + -4x + 6) = 0 Reorder the terms: (14 + -17x + 18x2) + -1(-6x2 + -4x + 6) = 0 Remove parenthesis around (14 + -17x + 18x2) 14 + -17x + 18x2 + -1(-6x2 + -4x + 6) = 0 Reorder the terms: 14 + -17x + 18x2 + -1(6 + -4x + -6x2) = 0 14 + -17x + 18x2 + (6 * -1 + -4x * -1 + -6x2 * -1) = 0 14 + -17x + 18x2 + (-6 + 4x + 6x2) = 0 Reorder the terms: 14 + -6 + -17x + 4x + 18x2 + 6x2 = 0 Combine like terms: 14 + -6 = 8 8 + -17x + 4x + 18x2 + 6x2 = 0 Combine like terms: -17x + 4x = -13x 8 + -13x + 18x2 + 6x2 = 0 Combine like terms: 18x2 + 6x2 = 24x2 8 + -13x + 24x2 = 0 Solving 8 + -13x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.3333333333 + -0.5416666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.5416666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.5416666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.5416666667x + x2 = 0 + -0.3333333333 -0.5416666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.5416666667x + x2 = -0.3333333333 The x term is -0.5416666667x. Take half its coefficient (-0.2708333334). Square it (0.07335069448) and add it to both sides. Add '0.07335069448' to each side of the equation. -0.5416666667x + 0.07335069448 + x2 = -0.3333333333 + 0.07335069448 Reorder the terms: 0.07335069448 + -0.5416666667x + x2 = -0.3333333333 + 0.07335069448 Combine like terms: -0.3333333333 + 0.07335069448 = -0.25998263882 0.07335069448 + -0.5416666667x + x2 = -0.25998263882 Factor a perfect square on the left side: (x + -0.2708333334)(x + -0.2708333334) = -0.25998263882 Can't calculate square root of the right side. The solution to this equation could not be determined.
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