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Simplifying 9x2 + -59x + 114 = 0 Reorder the terms: 114 + -59x + 9x2 = 0 Solving 114 + -59x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 12.66666667 + -6.555555556x + x2 = 0 Move the constant term to the right: Add '-12.66666667' to each side of the equation. 12.66666667 + -6.555555556x + -12.66666667 + x2 = 0 + -12.66666667 Reorder the terms: 12.66666667 + -12.66666667 + -6.555555556x + x2 = 0 + -12.66666667 Combine like terms: 12.66666667 + -12.66666667 = 0.00000000 0.00000000 + -6.555555556x + x2 = 0 + -12.66666667 -6.555555556x + x2 = 0 + -12.66666667 Combine like terms: 0 + -12.66666667 = -12.66666667 -6.555555556x + x2 = -12.66666667 The x term is -6.555555556x. Take half its coefficient (-3.277777778). Square it (10.74382716) and add it to both sides. Add '10.74382716' to each side of the equation. -6.555555556x + 10.74382716 + x2 = -12.66666667 + 10.74382716 Reorder the terms: 10.74382716 + -6.555555556x + x2 = -12.66666667 + 10.74382716 Combine like terms: -12.66666667 + 10.74382716 = -1.92283951 10.74382716 + -6.555555556x + x2 = -1.92283951 Factor a perfect square on the left side: (x + -3.277777778)(x + -3.277777778) = -1.92283951 Can't calculate square root of the right side. The solution to this equation could not be determined.
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