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Simplifying 17x2 + 14x + 5 = 0 Reorder the terms: 5 + 14x + 17x2 = 0 Solving 5 + 14x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.2941176471 + 0.8235294118x + x2 = 0 Move the constant term to the right: Add '-0.2941176471' to each side of the equation. 0.2941176471 + 0.8235294118x + -0.2941176471 + x2 = 0 + -0.2941176471 Reorder the terms: 0.2941176471 + -0.2941176471 + 0.8235294118x + x2 = 0 + -0.2941176471 Combine like terms: 0.2941176471 + -0.2941176471 = 0.0000000000 0.0000000000 + 0.8235294118x + x2 = 0 + -0.2941176471 0.8235294118x + x2 = 0 + -0.2941176471 Combine like terms: 0 + -0.2941176471 = -0.2941176471 0.8235294118x + x2 = -0.2941176471 The x term is 0.8235294118x. Take half its coefficient (0.4117647059). Square it (0.1695501730) and add it to both sides. Add '0.1695501730' to each side of the equation. 0.8235294118x + 0.1695501730 + x2 = -0.2941176471 + 0.1695501730 Reorder the terms: 0.1695501730 + 0.8235294118x + x2 = -0.2941176471 + 0.1695501730 Combine like terms: -0.2941176471 + 0.1695501730 = -0.1245674741 0.1695501730 + 0.8235294118x + x2 = -0.1245674741 Factor a perfect square on the left side: (x + 0.4117647059)(x + 0.4117647059) = -0.1245674741 Can't calculate square root of the right side. The solution to this equation could not be determined.
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