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Simplifying 100x2 + 30x + 9 = 0 Reorder the terms: 9 + 30x + 100x2 = 0 Solving 9 + 30x + 100x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.09 + 0.3x + x2 = 0 Move the constant term to the right: Add '-0.09' to each side of the equation. 0.09 + 0.3x + -0.09 + x2 = 0 + -0.09 Reorder the terms: 0.09 + -0.09 + 0.3x + x2 = 0 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + 0.3x + x2 = 0 + -0.09 0.3x + x2 = 0 + -0.09 Combine like terms: 0 + -0.09 = -0.09 0.3x + x2 = -0.09 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 = -0.09 + 0.0225 Reorder the terms: 0.0225 + 0.3x + x2 = -0.09 + 0.0225 Combine like terms: -0.09 + 0.0225 = -0.0675 0.0225 + 0.3x + x2 = -0.0675 Factor a perfect square on the left side: (x + 0.15)(x + 0.15) = -0.0675 Can't calculate square root of the right side. The solution to this equation could not be determined.
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