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Simplifying 3x2 + -9x2 + 27x + -34 = 0 Reorder the terms: -34 + 27x + 3x2 + -9x2 = 0 Combine like terms: 3x2 + -9x2 = -6x2 -34 + 27x + -6x2 = 0 Solving -34 + 27x + -6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 5.666666667 + -4.5x + x2 = 0 Move the constant term to the right: Add '-5.666666667' to each side of the equation. 5.666666667 + -4.5x + -5.666666667 + x2 = 0 + -5.666666667 Reorder the terms: 5.666666667 + -5.666666667 + -4.5x + x2 = 0 + -5.666666667 Combine like terms: 5.666666667 + -5.666666667 = 0.000000000 0.000000000 + -4.5x + x2 = 0 + -5.666666667 -4.5x + x2 = 0 + -5.666666667 Combine like terms: 0 + -5.666666667 = -5.666666667 -4.5x + x2 = -5.666666667 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -5.666666667 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -5.666666667 + 5.0625 Combine like terms: -5.666666667 + 5.0625 = -0.604166667 5.0625 + -4.5x + x2 = -0.604166667 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -0.604166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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