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Simplifying 80x2 + -37x + 17 = 0 Reorder the terms: 17 + -37x + 80x2 = 0 Solving 17 + -37x + 80x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 80 the coefficient of the squared term: Divide each side by '80'. 0.2125 + -0.4625x + x2 = 0 Move the constant term to the right: Add '-0.2125' to each side of the equation. 0.2125 + -0.4625x + -0.2125 + x2 = 0 + -0.2125 Reorder the terms: 0.2125 + -0.2125 + -0.4625x + x2 = 0 + -0.2125 Combine like terms: 0.2125 + -0.2125 = 0.0000 0.0000 + -0.4625x + x2 = 0 + -0.2125 -0.4625x + x2 = 0 + -0.2125 Combine like terms: 0 + -0.2125 = -0.2125 -0.4625x + x2 = -0.2125 The x term is -0.4625x. Take half its coefficient (-0.23125). Square it (0.0534765625) and add it to both sides. Add '0.0534765625' to each side of the equation. -0.4625x + 0.0534765625 + x2 = -0.2125 + 0.0534765625 Reorder the terms: 0.0534765625 + -0.4625x + x2 = -0.2125 + 0.0534765625 Combine like terms: -0.2125 + 0.0534765625 = -0.1590234375 0.0534765625 + -0.4625x + x2 = -0.1590234375 Factor a perfect square on the left side: (x + -0.23125)(x + -0.23125) = -0.1590234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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