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Simplifying 53x2 + 36x + 8127 = 0 Reorder the terms: 8127 + 36x + 53x2 = 0 Solving 8127 + 36x + 53x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 53 the coefficient of the squared term: Divide each side by '53'. 153.3396226 + 0.679245283x + x2 = 0 Move the constant term to the right: Add '-153.3396226' to each side of the equation. 153.3396226 + 0.679245283x + -153.3396226 + x2 = 0 + -153.3396226 Reorder the terms: 153.3396226 + -153.3396226 + 0.679245283x + x2 = 0 + -153.3396226 Combine like terms: 153.3396226 + -153.3396226 = 0.0000000 0.0000000 + 0.679245283x + x2 = 0 + -153.3396226 0.679245283x + x2 = 0 + -153.3396226 Combine like terms: 0 + -153.3396226 = -153.3396226 0.679245283x + x2 = -153.3396226 The x term is 0.679245283x. Take half its coefficient (0.3396226415). Square it (0.1153435386) and add it to both sides. Add '0.1153435386' to each side of the equation. 0.679245283x + 0.1153435386 + x2 = -153.3396226 + 0.1153435386 Reorder the terms: 0.1153435386 + 0.679245283x + x2 = -153.3396226 + 0.1153435386 Combine like terms: -153.3396226 + 0.1153435386 = -153.2242790614 0.1153435386 + 0.679245283x + x2 = -153.2242790614 Factor a perfect square on the left side: (x + 0.3396226415)(x + 0.3396226415) = -153.2242790614 Can't calculate square root of the right side. The solution to this equation could not be determined.
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