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Simplifying 13x2 + -7x + 10 = 0 Reorder the terms: 10 + -7x + 13x2 = 0 Solving 10 + -7x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.7692307692 + -0.5384615385x + x2 = 0 Move the constant term to the right: Add '-0.7692307692' to each side of the equation. 0.7692307692 + -0.5384615385x + -0.7692307692 + x2 = 0 + -0.7692307692 Reorder the terms: 0.7692307692 + -0.7692307692 + -0.5384615385x + x2 = 0 + -0.7692307692 Combine like terms: 0.7692307692 + -0.7692307692 = 0.0000000000 0.0000000000 + -0.5384615385x + x2 = 0 + -0.7692307692 -0.5384615385x + x2 = 0 + -0.7692307692 Combine like terms: 0 + -0.7692307692 = -0.7692307692 -0.5384615385x + x2 = -0.7692307692 The x term is -0.5384615385x. Take half its coefficient (-0.2692307693). Square it (0.07248520714) and add it to both sides. Add '0.07248520714' to each side of the equation. -0.5384615385x + 0.07248520714 + x2 = -0.7692307692 + 0.07248520714 Reorder the terms: 0.07248520714 + -0.5384615385x + x2 = -0.7692307692 + 0.07248520714 Combine like terms: -0.7692307692 + 0.07248520714 = -0.69674556206 0.07248520714 + -0.5384615385x + x2 = -0.69674556206 Factor a perfect square on the left side: (x + -0.2692307693)(x + -0.2692307693) = -0.69674556206 Can't calculate square root of the right side. The solution to this equation could not be determined.
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