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Simplifying 5x2 + -3x + 2013 = 0 Reorder the terms: 2013 + -3x + 5x2 = 0 Solving 2013 + -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'. 402.6 + -0.6x + x2 = 0 Move the constant term to the right: Add '-402.6' to each side of the equation. 402.6 + -0.6x + -402.6 + x2 = 0 + -402.6 Reorder the terms: 402.6 + -402.6 + -0.6x + x2 = 0 + -402.6 Combine like terms: 402.6 + -402.6 = 0.0 0.0 + -0.6x + x2 = 0 + -402.6 -0.6x + x2 = 0 + -402.6 Combine like terms: 0 + -402.6 = -402.6 -0.6x + x2 = -402.6 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 = -402.6 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -402.6 + 0.09 Combine like terms: -402.6 + 0.09 = -402.51 0.09 + -0.6x + x2 = -402.51 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -402.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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