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Simplifying 0.1x2 + -1x + 9 = 0.2x Reorder the terms: 9 + -1x + 0.1x2 = 0.2x Solving 9 + -1x + 0.1x2 = 0.2x Solving for variable 'x'. Reorder the terms: 9 + -1x + -0.2x + 0.1x2 = 0.2x + -0.2x Combine like terms: -1x + -0.2x = -1.2x 9 + -1.2x + 0.1x2 = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 9 + -1.2x + 0.1x2 = 0.0 Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 90 + -12x + x2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + -12x + -90 + x2 = 0 + -90 Reorder the terms: 90 + -90 + -12x + x2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -12x + x2 = 0 + -90 -12x + x2 = 0 + -90 Combine like terms: 0 + -90 = -90 -12x + x2 = -90 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 = -90 + 36 Reorder the terms: 36 + -12x + x2 = -90 + 36 Combine like terms: -90 + 36 = -54 36 + -12x + x2 = -54 Factor a perfect square on the left side: (x + -6)(x + -6) = -54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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