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Simplifying 13x + -34 = 2x2 Reorder the terms: -34 + 13x = 2x2 Solving -34 + 13x = 2x2 Solving for variable 'x'. Combine like terms: 2x2 + -2x2 = 0 -34 + 13x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 17 + -6.5x + x2 = 0 Move the constant term to the right: Add '-17' to each side of the equation. 17 + -6.5x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -6.5x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6.5x + x2 = 0 + -17 -6.5x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6.5x + x2 = -17 The x term is -6.5x. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5x + 10.5625 + x2 = -17 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -17 + 10.5625 Combine like terms: -17 + 10.5625 = -6.4375 10.5625 + -6.5x + x2 = -6.4375 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = -6.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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