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Simplifying 13x2 + 13 = 24x Reorder the terms: 13 + 13x2 = 24x Solving 13 + 13x2 = 24x Solving for variable 'x'. Reorder the terms: 13 + -24x + 13x2 = 24x + -24x Combine like terms: 24x + -24x = 0 13 + -24x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1 + -1.846153846x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.846153846x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.846153846x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.846153846x + x2 = 0 + -1 -1.846153846x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.846153846x + x2 = -1 The x term is -1.846153846x. Take half its coefficient (-0.923076923). Square it (0.8520710058) and add it to both sides. Add '0.8520710058' to each side of the equation. -1.846153846x + 0.8520710058 + x2 = -1 + 0.8520710058 Reorder the terms: 0.8520710058 + -1.846153846x + x2 = -1 + 0.8520710058 Combine like terms: -1 + 0.8520710058 = -0.1479289942 0.8520710058 + -1.846153846x + x2 = -0.1479289942 Factor a perfect square on the left side: (x + -0.923076923)(x + -0.923076923) = -0.1479289942 Can't calculate square root of the right side. The solution to this equation could not be determined.
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