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Simplifying -2x2 + 6 + 8x + -12 + -17x2 = 0 Reorder the terms: 6 + -12 + 8x + -2x2 + -17x2 = 0 Combine like terms: 6 + -12 = -6 -6 + 8x + -2x2 + -17x2 = 0 Combine like terms: -2x2 + -17x2 = -19x2 -6 + 8x + -19x2 = 0 Solving -6 + 8x + -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'. 0.3157894737 + -0.4210526316x + x2 = 0 Move the constant term to the right: Add '-0.3157894737' to each side of the equation. 0.3157894737 + -0.4210526316x + -0.3157894737 + x2 = 0 + -0.3157894737 Reorder the terms: 0.3157894737 + -0.3157894737 + -0.4210526316x + x2 = 0 + -0.3157894737 Combine like terms: 0.3157894737 + -0.3157894737 = 0.0000000000 0.0000000000 + -0.4210526316x + x2 = 0 + -0.3157894737 -0.4210526316x + x2 = 0 + -0.3157894737 Combine like terms: 0 + -0.3157894737 = -0.3157894737 -0.4210526316x + x2 = -0.3157894737 The x term is -0.4210526316x. Take half its coefficient (-0.2105263158). Square it (0.04432132964) and add it to both sides. Add '0.04432132964' to each side of the equation. -0.4210526316x + 0.04432132964 + x2 = -0.3157894737 + 0.04432132964 Reorder the terms: 0.04432132964 + -0.4210526316x + x2 = -0.3157894737 + 0.04432132964 Combine like terms: -0.3157894737 + 0.04432132964 = -0.27146814406 0.04432132964 + -0.4210526316x + x2 = -0.27146814406 Factor a perfect square on the left side: (x + -0.2105263158)(x + -0.2105263158) = -0.27146814406 Can't calculate square root of the right side. The solution to this equation could not be determined.
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