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Simplifying 24.01 + 0.02x + x2 = 0 Solving 24.01 + 0.02x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-24.01' to each side of the equation. 24.01 + 0.02x + -24.01 + x2 = 0 + -24.01 Reorder the terms: 24.01 + -24.01 + 0.02x + x2 = 0 + -24.01 Combine like terms: 24.01 + -24.01 = 0.00 0.00 + 0.02x + x2 = 0 + -24.01 0.02x + x2 = 0 + -24.01 Combine like terms: 0 + -24.01 = -24.01 0.02x + x2 = -24.01 The x term is 0.02x. Take half its coefficient (0.01). Square it (0.0001) and add it to both sides. Add '0.0001' to each side of the equation. 0.02x + 0.0001 + x2 = -24.01 + 0.0001 Reorder the terms: 0.0001 + 0.02x + x2 = -24.01 + 0.0001 Combine like terms: -24.01 + 0.0001 = -24.0099 0.0001 + 0.02x + x2 = -24.0099 Factor a perfect square on the left side: (x + 0.01)(x + 0.01) = -24.0099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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