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Simplifying -1(5x2 + -6x + 6) = 0 Reorder the terms: -1(6 + -6x + 5x2) = 0 (6 * -1 + -6x * -1 + 5x2 * -1) = 0 (-6 + 6x + -5x2) = 0 Solving -6 + 6x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.2 + -1.2x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -1.2x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -1.2x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.2x + x2 = 0 + -1.2 -1.2x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -1.2x + x2 = -1.2 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -1.2 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -1.2 + 0.36 Combine like terms: -1.2 + 0.36 = -0.84 0.36 + -1.2x + x2 = -0.84 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -0.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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