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Simplifying -0.4x + x2 = -1.8 Solving -0.4x + x2 = -1.8 Solving for variable 'x'. Reorder the terms: 1.8 + -0.4x + x2 = -1.8 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 1.8 + -0.4x + x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -0.4x + -1.8 + x2 = 0.0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.4x + x2 = 0.0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.4x + x2 = 0.0 + -1.8 -0.4x + x2 = 0.0 + -1.8 Combine like terms: 0.0 + -1.8 = -1.8 -0.4x + x2 = -1.8 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -1.8 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -1.8 + 0.04 Combine like terms: -1.8 + 0.04 = -1.76 0.04 + -0.4x + x2 = -1.76 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -1.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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