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Simplifying 0.15x2 + -3x + 30 = 0 Reorder the terms: 30 + -3x + 0.15x2 = 0 Solving 30 + -3x + 0.15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.15 the coefficient of the squared term: Divide each side by '0.15'. 200 + -20x + x2 = 0 Move the constant term to the right: Add '-200' to each side of the equation. 200 + -20x + -200 + x2 = 0 + -200 Reorder the terms: 200 + -200 + -20x + x2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -20x + x2 = 0 + -200 -20x + x2 = 0 + -200 Combine like terms: 0 + -200 = -200 -20x + x2 = -200 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 = -200 + 100 Reorder the terms: 100 + -20x + x2 = -200 + 100 Combine like terms: -200 + 100 = -100 100 + -20x + x2 = -100 Factor a perfect square on the left side: (x + -10)(x + -10) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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