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Simplifying 5x2 + 3x + 0.5 = 0 Reorder the terms: 0.5 + 3x + 5x2 = 0 Solving 0.5 + 3x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.1 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + 0.6x + -0.1 + x2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + 0.6x + x2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.6x + x2 = 0 + -0.1 0.6x + x2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 0.6x + x2 = -0.1 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.1 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.1 + 0.09 Combine like terms: -0.1 + 0.09 = -0.01 0.09 + 0.6x + x2 = -0.01 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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