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Simplifying 5x2 + -58x + 170 = 0 Reorder the terms: 170 + -58x + 5x2 = 0 Solving 170 + -58x + 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'. 34 + -11.6x + x2 = 0 Move the constant term to the right: Add '-34' to each side of the equation. 34 + -11.6x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + -11.6x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -11.6x + x2 = 0 + -34 -11.6x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 -11.6x + x2 = -34 The x term is -11.6x. Take half its coefficient (-5.8). Square it (33.64) and add it to both sides. Add '33.64' to each side of the equation. -11.6x + 33.64 + x2 = -34 + 33.64 Reorder the terms: 33.64 + -11.6x + x2 = -34 + 33.64 Combine like terms: -34 + 33.64 = -0.36 33.64 + -11.6x + x2 = -0.36 Factor a perfect square on the left side: (x + -5.8)(x + -5.8) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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