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Simplifying -5x + 36 = -2x(3x + -3) Reorder the terms: 36 + -5x = -2x(3x + -3) Reorder the terms: 36 + -5x = -2x(-3 + 3x) 36 + -5x = (-3 * -2x + 3x * -2x) 36 + -5x = (6x + -6x2) Solving 36 + -5x = 6x + -6x2 Solving for variable 'x'. Combine like terms: -5x + -6x = -11x 36 + -11x + 6x2 = 6x + -6x2 + -6x + 6x2 Reorder the terms: 36 + -11x + 6x2 = 6x + -6x + -6x2 + 6x2 Combine like terms: 6x + -6x = 0 36 + -11x + 6x2 = 0 + -6x2 + 6x2 36 + -11x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 36 + -11x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 6 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -1.833333333x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -1.833333333x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1.833333333x + x2 = 0 + -6 -1.833333333x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1.833333333x + x2 = -6 The x term is -1.833333333x. Take half its coefficient (-0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. -1.833333333x + 0.8402777775 + x2 = -6 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -6 + 0.8402777775 Combine like terms: -6 + 0.8402777775 = -5.1597222225 0.8402777775 + -1.833333333x + x2 = -5.1597222225 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -5.1597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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