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Simplifying 108x2 + -0.78x + 12345 = 0 Reorder the terms: 12345 + -0.78x + 108x2 = 0 Solving 12345 + -0.78x + 108x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 108 the coefficient of the squared term: Divide each side by '108'. 114.3055556 + -0.007222222222x + x2 = 0 Move the constant term to the right: Add '-114.3055556' to each side of the equation. 114.3055556 + -0.007222222222x + -114.3055556 + x2 = 0 + -114.3055556 Reorder the terms: 114.3055556 + -114.3055556 + -0.007222222222x + x2 = 0 + -114.3055556 Combine like terms: 114.3055556 + -114.3055556 = 0.0000000 0.0000000 + -0.007222222222x + x2 = 0 + -114.3055556 -0.007222222222x + x2 = 0 + -114.3055556 Combine like terms: 0 + -114.3055556 = -114.3055556 -0.007222222222x + x2 = -114.3055556 The x term is -0.007222222222x. Take half its coefficient (-0.003611111111). Square it (0.00001304012346) and add it to both sides. Add '0.00001304012346' to each side of the equation. -0.007222222222x + 0.00001304012346 + x2 = -114.3055556 + 0.00001304012346 Reorder the terms: 0.00001304012346 + -0.007222222222x + x2 = -114.3055556 + 0.00001304012346 Combine like terms: -114.3055556 + 0.00001304012346 = -114.30554255987654 0.00001304012346 + -0.007222222222x + x2 = -114.30554255987654 Factor a perfect square on the left side: (x + -0.003611111111)(x + -0.003611111111) = -114.30554255987654 Can't calculate square root of the right side. The solution to this equation could not be determined.
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