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Simplifying 5x2 + 1.6x + 1.79 = 0 Reorder the terms: 1.79 + 1.6x + 5x2 = 0 Solving 1.79 + 1.6x + 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'. 0.358 + 0.32x + x2 = 0 Move the constant term to the right: Add '-0.358' to each side of the equation. 0.358 + 0.32x + -0.358 + x2 = 0 + -0.358 Reorder the terms: 0.358 + -0.358 + 0.32x + x2 = 0 + -0.358 Combine like terms: 0.358 + -0.358 = 0.000 0.000 + 0.32x + x2 = 0 + -0.358 0.32x + x2 = 0 + -0.358 Combine like terms: 0 + -0.358 = -0.358 0.32x + x2 = -0.358 The x term is 0.32x. Take half its coefficient (0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. 0.32x + 0.0256 + x2 = -0.358 + 0.0256 Reorder the terms: 0.0256 + 0.32x + x2 = -0.358 + 0.0256 Combine like terms: -0.358 + 0.0256 = -0.3324 0.0256 + 0.32x + x2 = -0.3324 Factor a perfect square on the left side: (x + 0.16)(x + 0.16) = -0.3324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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