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Simplifying 40x2 + -12x + 9 = 0 Reorder the terms: 9 + -12x + 40x2 = 0 Solving 9 + -12x + 40x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 0.225 + -0.3x + x2 = 0 Move the constant term to the right: Add '-0.225' to each side of the equation. 0.225 + -0.3x + -0.225 + x2 = 0 + -0.225 Reorder the terms: 0.225 + -0.225 + -0.3x + x2 = 0 + -0.225 Combine like terms: 0.225 + -0.225 = 0.000 0.000 + -0.3x + x2 = 0 + -0.225 -0.3x + x2 = 0 + -0.225 Combine like terms: 0 + -0.225 = -0.225 -0.3x + x2 = -0.225 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -0.225 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -0.225 + 0.0225 Combine like terms: -0.225 + 0.0225 = -0.2025 0.0225 + -0.3x + x2 = -0.2025 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -0.2025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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