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Simplifying 19x2 + -16x + 23 = 0 Reorder the terms: 23 + -16x + 19x2 = 0 Solving 23 + -16x + 19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 1.210526316 + -0.8421052632x + x2 = 0 Move the constant term to the right: Add '-1.210526316' to each side of the equation. 1.210526316 + -0.8421052632x + -1.210526316 + x2 = 0 + -1.210526316 Reorder the terms: 1.210526316 + -1.210526316 + -0.8421052632x + x2 = 0 + -1.210526316 Combine like terms: 1.210526316 + -1.210526316 = 0.000000000 0.000000000 + -0.8421052632x + x2 = 0 + -1.210526316 -0.8421052632x + x2 = 0 + -1.210526316 Combine like terms: 0 + -1.210526316 = -1.210526316 -0.8421052632x + x2 = -1.210526316 The x term is -0.8421052632x. Take half its coefficient (-0.4210526316). Square it (0.1772853186) and add it to both sides. Add '0.1772853186' to each side of the equation. -0.8421052632x + 0.1772853186 + x2 = -1.210526316 + 0.1772853186 Reorder the terms: 0.1772853186 + -0.8421052632x + x2 = -1.210526316 + 0.1772853186 Combine like terms: -1.210526316 + 0.1772853186 = -1.0332409974 0.1772853186 + -0.8421052632x + x2 = -1.0332409974 Factor a perfect square on the left side: (x + -0.4210526316)(x + -0.4210526316) = -1.0332409974 Can't calculate square root of the right side. The solution to this equation could not be determined.
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