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Simplifying x2 = 0.9x + -1.8 Reorder the terms: x2 = -1.8 + 0.9x Solving x2 = -1.8 + 0.9x Solving for variable 'x'. Reorder the terms: 1.8 + -0.9x + x2 = -1.8 + 0.9x + 1.8 + -0.9x Reorder the terms: 1.8 + -0.9x + x2 = -1.8 + 1.8 + 0.9x + -0.9x Combine like terms: -1.8 + 1.8 = 0.0 1.8 + -0.9x + x2 = 0.0 + 0.9x + -0.9x 1.8 + -0.9x + x2 = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.8 + -0.9x + 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 + -0.9x + -1.8 + x2 = 0.0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.9x + x2 = 0.0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.9x + x2 = 0.0 + -1.8 -0.9x + x2 = 0.0 + -1.8 Combine like terms: 0.0 + -1.8 = -1.8 -0.9x + x2 = -1.8 The x term is -0.9x. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9x + 0.2025 + x2 = -1.8 + 0.2025 Reorder the terms: 0.2025 + -0.9x + x2 = -1.8 + 0.2025 Combine like terms: -1.8 + 0.2025 = -1.5975 0.2025 + -0.9x + x2 = -1.5975 Factor a perfect square on the left side: (x + -0.45)(x + -0.45) = -1.5975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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