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Simplifying 5x2 + -34x + 68 = 0 Reorder the terms: 68 + -34x + 5x2 = 0 Solving 68 + -34x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 13.6 + -6.8x + x2 = 0 Move the constant term to the right: Add '-13.6' to each side of the equation. 13.6 + -6.8x + -13.6 + x2 = 0 + -13.6 Reorder the terms: 13.6 + -13.6 + -6.8x + x2 = 0 + -13.6 Combine like terms: 13.6 + -13.6 = 0.0 0.0 + -6.8x + x2 = 0 + -13.6 -6.8x + x2 = 0 + -13.6 Combine like terms: 0 + -13.6 = -13.6 -6.8x + x2 = -13.6 The x term is -6.8x. Take half its coefficient (-3.4). Square it (11.56) and add it to both sides. Add '11.56' to each side of the equation. -6.8x + 11.56 + x2 = -13.6 + 11.56 Reorder the terms: 11.56 + -6.8x + x2 = -13.6 + 11.56 Combine like terms: -13.6 + 11.56 = -2.04 11.56 + -6.8x + x2 = -2.04 Factor a perfect square on the left side: (x + -3.4)(x + -3.4) = -2.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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