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Simplifying 23x2 + 6x + 19 = 0 Reorder the terms: 19 + 6x + 23x2 = 0 Solving 19 + 6x + 23x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 0.8260869565 + 0.2608695652x + x2 = 0 Move the constant term to the right: Add '-0.8260869565' to each side of the equation. 0.8260869565 + 0.2608695652x + -0.8260869565 + x2 = 0 + -0.8260869565 Reorder the terms: 0.8260869565 + -0.8260869565 + 0.2608695652x + x2 = 0 + -0.8260869565 Combine like terms: 0.8260869565 + -0.8260869565 = 0.0000000000 0.0000000000 + 0.2608695652x + x2 = 0 + -0.8260869565 0.2608695652x + x2 = 0 + -0.8260869565 Combine like terms: 0 + -0.8260869565 = -0.8260869565 0.2608695652x + x2 = -0.8260869565 The x term is 0.2608695652x. Take half its coefficient (0.1304347826). Square it (0.01701323251) and add it to both sides. Add '0.01701323251' to each side of the equation. 0.2608695652x + 0.01701323251 + x2 = -0.8260869565 + 0.01701323251 Reorder the terms: 0.01701323251 + 0.2608695652x + x2 = -0.8260869565 + 0.01701323251 Combine like terms: -0.8260869565 + 0.01701323251 = -0.80907372399 0.01701323251 + 0.2608695652x + x2 = -0.80907372399 Factor a perfect square on the left side: (x + 0.1304347826)(x + 0.1304347826) = -0.80907372399 Can't calculate square root of the right side. The solution to this equation could not be determined.
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