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Simplifying 6x2 + -5x + 4 = 2x + -2 Reorder the terms: 4 + -5x + 6x2 = 2x + -2 Reorder the terms: 4 + -5x + 6x2 = -2 + 2x Solving 4 + -5x + 6x2 = -2 + 2x Solving for variable 'x'. Reorder the terms: 4 + 2 + -5x + -2x + 6x2 = -2 + 2x + 2 + -2x Combine like terms: 4 + 2 = 6 6 + -5x + -2x + 6x2 = -2 + 2x + 2 + -2x Combine like terms: -5x + -2x = -7x 6 + -7x + 6x2 = -2 + 2x + 2 + -2x Reorder the terms: 6 + -7x + 6x2 = -2 + 2 + 2x + -2x Combine like terms: -2 + 2 = 0 6 + -7x + 6x2 = 0 + 2x + -2x 6 + -7x + 6x2 = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -7x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.166666667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.166666667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.166666667x + x2 = 0 + -1 -1.166666667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.166666667x + x2 = -1 The x term is -1.166666667x. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667x + 0.3402777780 + x2 = -1 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = -1 + 0.3402777780 Combine like terms: -1 + 0.3402777780 = -0.659722222 0.3402777780 + -1.166666667x + x2 = -0.659722222 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = -0.659722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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