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Simplifying x2 + -0.9x + 15 = 0 Reorder the terms: 15 + -0.9x + x2 = 0 Solving 15 + -0.9x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -0.9x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -0.9x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -0.9x + x2 = 0 + -15 -0.9x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -0.9x + x2 = -15 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 = -15 + 0.2025 Reorder the terms: 0.2025 + -0.9x + x2 = -15 + 0.2025 Combine like terms: -15 + 0.2025 = -14.7975 0.2025 + -0.9x + x2 = -14.7975 Factor a perfect square on the left side: (x + -0.45)(x + -0.45) = -14.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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