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Simplifying -0.3x2 + 6x + -108 = 0 Reorder the terms: -108 + 6x + -0.3x2 = 0 Solving -108 + 6x + -0.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.3 the coefficient of the squared term: Divide each side by '-0.3'. 360 + -20x + x2 = 0 Move the constant term to the right: Add '-360' to each side of the equation. 360 + -20x + -360 + x2 = 0 + -360 Reorder the terms: 360 + -360 + -20x + x2 = 0 + -360 Combine like terms: 360 + -360 = 0 0 + -20x + x2 = 0 + -360 -20x + x2 = 0 + -360 Combine like terms: 0 + -360 = -360 -20x + x2 = -360 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -360 + 100 Reorder the terms: 100 + -20x + x2 = -360 + 100 Combine like terms: -360 + 100 = -260 100 + -20x + x2 = -260 Factor a perfect square on the left side: (x + -10)(x + -10) = -260 Can't calculate square root of the right side. The solution to this equation could not be determined.
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