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Simplifying 26x2 + 1 = 10x Reorder the terms: 1 + 26x2 = 10x Solving 1 + 26x2 = 10x Solving for variable 'x'. Reorder the terms: 1 + -10x + 26x2 = 10x + -10x Combine like terms: 10x + -10x = 0 1 + -10x + 26x2 = 0 Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 0.03846153846 + -0.3846153846x + x2 = 0 Move the constant term to the right: Add '-0.03846153846' to each side of the equation. 0.03846153846 + -0.3846153846x + -0.03846153846 + x2 = 0 + -0.03846153846 Reorder the terms: 0.03846153846 + -0.03846153846 + -0.3846153846x + x2 = 0 + -0.03846153846 Combine like terms: 0.03846153846 + -0.03846153846 = 0.00000000000 0.00000000000 + -0.3846153846x + x2 = 0 + -0.03846153846 -0.3846153846x + x2 = 0 + -0.03846153846 Combine like terms: 0 + -0.03846153846 = -0.03846153846 -0.3846153846x + x2 = -0.03846153846 The x term is -0.3846153846x. Take half its coefficient (-0.1923076923). Square it (0.03698224852) and add it to both sides. Add '0.03698224852' to each side of the equation. -0.3846153846x + 0.03698224852 + x2 = -0.03846153846 + 0.03698224852 Reorder the terms: 0.03698224852 + -0.3846153846x + x2 = -0.03846153846 + 0.03698224852 Combine like terms: -0.03846153846 + 0.03698224852 = -0.00147928994 0.03698224852 + -0.3846153846x + x2 = -0.00147928994 Factor a perfect square on the left side: (x + -0.1923076923)(x + -0.1923076923) = -0.00147928994 Can't calculate square root of the right side. The solution to this equation could not be determined.
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