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Simplifying 0.6x2 + -7.2x + 48 = 0 Reorder the terms: 48 + -7.2x + 0.6x2 = 0 Solving 48 + -7.2x + 0.6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.6 the coefficient of the squared term: Divide each side by '0.6'. 80 + -12x + x2 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -12x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + -12x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -12x + x2 = 0 + -80 -12x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 -12x + x2 = -80 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -80 + 36 Reorder the terms: 36 + -12x + x2 = -80 + 36 Combine like terms: -80 + 36 = -44 36 + -12x + x2 = -44 Factor a perfect square on the left side: (x + -6)(x + -6) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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