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Simplifying 4x2 + 14x2 + -3x + -1 + 18x2 + 16 + 17x + -3x = 0 Reorder the terms: -1 + 16 + -3x + 17x + -3x + 4x2 + 14x2 + 18x2 = 0 Combine like terms: -1 + 16 = 15 15 + -3x + 17x + -3x + 4x2 + 14x2 + 18x2 = 0 Combine like terms: -3x + 17x = 14x 15 + 14x + -3x + 4x2 + 14x2 + 18x2 = 0 Combine like terms: 14x + -3x = 11x 15 + 11x + 4x2 + 14x2 + 18x2 = 0 Combine like terms: 4x2 + 14x2 = 18x2 15 + 11x + 18x2 + 18x2 = 0 Combine like terms: 18x2 + 18x2 = 36x2 15 + 11x + 36x2 = 0 Solving 15 + 11x + 36x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.4166666667 + 0.3055555556x + x2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + 0.3055555556x + -0.4166666667 + x2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + 0.3055555556x + x2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + 0.3055555556x + x2 = 0 + -0.4166666667 0.3055555556x + x2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 0.3055555556x + x2 = -0.4166666667 The x term is 0.3055555556x. Take half its coefficient (0.1527777778). Square it (0.02334104939) and add it to both sides. Add '0.02334104939' to each side of the equation. 0.3055555556x + 0.02334104939 + x2 = -0.4166666667 + 0.02334104939 Reorder the terms: 0.02334104939 + 0.3055555556x + x2 = -0.4166666667 + 0.02334104939 Combine like terms: -0.4166666667 + 0.02334104939 = -0.39332561731 0.02334104939 + 0.3055555556x + x2 = -0.39332561731 Factor a perfect square on the left side: (x + 0.1527777778)(x + 0.1527777778) = -0.39332561731 Can't calculate square root of the right side. The solution to this equation could not be determined.
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