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Simplifying 80x2 + 9x = -15 Reorder the terms: 9x + 80x2 = -15 Solving 9x + 80x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 9x + 80x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 9x + 80x2 = 0 Begin completing the square. Divide all terms by 80 the coefficient of the squared term: Divide each side by '80'. 0.1875 + 0.1125x + x2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + 0.1125x + -0.1875 + x2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + 0.1125x + x2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + 0.1125x + x2 = 0 + -0.1875 0.1125x + x2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 0.1125x + x2 = -0.1875 The x term is 0.1125x. Take half its coefficient (0.05625). Square it (0.0031640625) and add it to both sides. Add '0.0031640625' to each side of the equation. 0.1125x + 0.0031640625 + x2 = -0.1875 + 0.0031640625 Reorder the terms: 0.0031640625 + 0.1125x + x2 = -0.1875 + 0.0031640625 Combine like terms: -0.1875 + 0.0031640625 = -0.1843359375 0.0031640625 + 0.1125x + x2 = -0.1843359375 Factor a perfect square on the left side: (x + 0.05625)(x + 0.05625) = -0.1843359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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