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Simplifying -6x2 = -3x + 7 Reorder the terms: -6x2 = 7 + -3x Solving -6x2 = 7 + -3x Solving for variable 'x'. Reorder the terms: -7 + 3x + -6x2 = 7 + -3x + -7 + 3x Reorder the terms: -7 + 3x + -6x2 = 7 + -7 + -3x + 3x Combine like terms: 7 + -7 = 0 -7 + 3x + -6x2 = 0 + -3x + 3x -7 + 3x + -6x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 3x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 1.166666667 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -0.5x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -0.5x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -0.5x + x2 = 0 + -1.166666667 -0.5x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -0.5x + x2 = -1.166666667 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1.166666667 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1.166666667 + 0.0625 Combine like terms: -1.166666667 + 0.0625 = -1.104166667 0.0625 + -0.5x + x2 = -1.104166667 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -1.104166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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