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Simplifying -6x2 = -15x + 11 Reorder the terms: -6x2 = 11 + -15x Solving -6x2 = 11 + -15x Solving for variable 'x'. Reorder the terms: -11 + 15x + -6x2 = 11 + -15x + -11 + 15x Reorder the terms: -11 + 15x + -6x2 = 11 + -11 + -15x + 15x Combine like terms: 11 + -11 = 0 -11 + 15x + -6x2 = 0 + -15x + 15x -11 + 15x + -6x2 = -15x + 15x Combine like terms: -15x + 15x = 0 -11 + 15x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 1.833333333 + -2.5x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -2.5x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -2.5x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -2.5x + x2 = 0 + -1.833333333 -2.5x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -2.5x + x2 = -1.833333333 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -1.833333333 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -1.833333333 + 1.5625 Combine like terms: -1.833333333 + 1.5625 = -0.270833333 1.5625 + -2.5x + x2 = -0.270833333 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -0.270833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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