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Simplifying -109.1 = x2 + 2.85x Reorder the terms: -109.1 = 2.85x + x2 Solving -109.1 = 2.85x + x2 Solving for variable 'x'. Reorder the terms: -109.1 + -2.85x + -1x2 = 2.85x + -2.85x + x2 + -1x2 Combine like terms: 2.85x + -2.85x = 0.00 -109.1 + -2.85x + -1x2 = 0.00 + x2 + -1x2 -109.1 + -2.85x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -109.1 + -2.85x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 109.1 + 2.85x + x2 = 0 Move the constant term to the right: Add '-109.1' to each side of the equation. 109.1 + 2.85x + -109.1 + x2 = 0 + -109.1 Reorder the terms: 109.1 + -109.1 + 2.85x + x2 = 0 + -109.1 Combine like terms: 109.1 + -109.1 = 0.0 0.0 + 2.85x + x2 = 0 + -109.1 2.85x + x2 = 0 + -109.1 Combine like terms: 0 + -109.1 = -109.1 2.85x + x2 = -109.1 The x term is 2.85x. Take half its coefficient (1.425). Square it (2.030625) and add it to both sides. Add '2.030625' to each side of the equation. 2.85x + 2.030625 + x2 = -109.1 + 2.030625 Reorder the terms: 2.030625 + 2.85x + x2 = -109.1 + 2.030625 Combine like terms: -109.1 + 2.030625 = -107.069375 2.030625 + 2.85x + x2 = -107.069375 Factor a perfect square on the left side: (x + 1.425)(x + 1.425) = -107.069375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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