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Simplifying 13x2 + 1 = 6x Reorder the terms: 1 + 13x2 = 6x Solving 1 + 13x2 = 6x Solving for variable 'x'. Reorder the terms: 1 + -6x + 13x2 = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -6x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.07692307692 + -0.4615384615x + x2 = 0 Move the constant term to the right: Add '-0.07692307692' to each side of the equation. 0.07692307692 + -0.4615384615x + -0.07692307692 + x2 = 0 + -0.07692307692 Reorder the terms: 0.07692307692 + -0.07692307692 + -0.4615384615x + x2 = 0 + -0.07692307692 Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000 0.00000000000 + -0.4615384615x + x2 = 0 + -0.07692307692 -0.4615384615x + x2 = 0 + -0.07692307692 Combine like terms: 0 + -0.07692307692 = -0.07692307692 -0.4615384615x + x2 = -0.07692307692 The x term is -0.4615384615x. Take half its coefficient (-0.2307692308). Square it (0.05325443788) and add it to both sides. Add '0.05325443788' to each side of the equation. -0.4615384615x + 0.05325443788 + x2 = -0.07692307692 + 0.05325443788 Reorder the terms: 0.05325443788 + -0.4615384615x + x2 = -0.07692307692 + 0.05325443788 Combine like terms: -0.07692307692 + 0.05325443788 = -0.02366863904 0.05325443788 + -0.4615384615x + x2 = -0.02366863904 Factor a perfect square on the left side: (x + -0.2307692308)(x + -0.2307692308) = -0.02366863904 Can't calculate square root of the right side. The solution to this equation could not be determined.
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