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Simplifying 134x + -67x2 = 180 Solving 134x + -67x2 = 180 Solving for variable 'x'. Reorder the terms: -180 + 134x + -67x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 134x + -67x2 = 0 Begin completing the square. Divide all terms by -67 the coefficient of the squared term: Divide each side by '-67'. 2.686567164 + -2x + x2 = 0 Move the constant term to the right: Add '-2.686567164' to each side of the equation. 2.686567164 + -2x + -2.686567164 + x2 = 0 + -2.686567164 Reorder the terms: 2.686567164 + -2.686567164 + -2x + x2 = 0 + -2.686567164 Combine like terms: 2.686567164 + -2.686567164 = 0.000000000 0.000000000 + -2x + x2 = 0 + -2.686567164 -2x + x2 = 0 + -2.686567164 Combine like terms: 0 + -2.686567164 = -2.686567164 -2x + x2 = -2.686567164 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2.686567164 + 1 Reorder the terms: 1 + -2x + x2 = -2.686567164 + 1 Combine like terms: -2.686567164 + 1 = -1.686567164 1 + -2x + x2 = -1.686567164 Factor a perfect square on the left side: (x + -1)(x + -1) = -1.686567164 Can't calculate square root of the right side. The solution to this equation could not be determined.
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