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Simplifying 5x2 + -1x + 3 = 0 Reorder the terms: 3 + -1x + 5x2 = 0 Solving 3 + -1x + 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'. 0.6 + -0.2x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -0.2x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -0.2x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.2x + x2 = 0 + -0.6 -0.2x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -0.2x + x2 = -0.6 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -0.6 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -0.6 + 0.01 Combine like terms: -0.6 + 0.01 = -0.59 0.01 + -0.2x + x2 = -0.59 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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