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Simplifying x2 + 0.2x + 36.01 = 0 Reorder the terms: 36.01 + 0.2x + x2 = 0 Solving 36.01 + 0.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-36.01' to each side of the equation. 36.01 + 0.2x + -36.01 + x2 = 0 + -36.01 Reorder the terms: 36.01 + -36.01 + 0.2x + x2 = 0 + -36.01 Combine like terms: 36.01 + -36.01 = 0.00 0.00 + 0.2x + x2 = 0 + -36.01 0.2x + x2 = 0 + -36.01 Combine like terms: 0 + -36.01 = -36.01 0.2x + x2 = -36.01 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -36.01 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -36.01 + 0.01 Combine like terms: -36.01 + 0.01 = -36 0.01 + 0.2x + x2 = -36 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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