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Simplifying 5x2 + -0.2x + 1.6 = 0 Reorder the terms: 1.6 + -0.2x + 5x2 = 0 Solving 1.6 + -0.2x + 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'. 0.32 + -0.04x + x2 = 0 Move the constant term to the right: Add '-0.32' to each side of the equation. 0.32 + -0.04x + -0.32 + x2 = 0 + -0.32 Reorder the terms: 0.32 + -0.32 + -0.04x + x2 = 0 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + -0.04x + x2 = 0 + -0.32 -0.04x + x2 = 0 + -0.32 Combine like terms: 0 + -0.32 = -0.32 -0.04x + x2 = -0.32 The x term is -0.04x. Take half its coefficient (-0.02). Square it (0.0004) and add it to both sides. Add '0.0004' to each side of the equation. -0.04x + 0.0004 + x2 = -0.32 + 0.0004 Reorder the terms: 0.0004 + -0.04x + x2 = -0.32 + 0.0004 Combine like terms: -0.32 + 0.0004 = -0.3196 0.0004 + -0.04x + x2 = -0.3196 Factor a perfect square on the left side: (x + -0.02)(x + -0.02) = -0.3196 Can't calculate square root of the right side. The solution to this equation could not be determined.
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