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Simplifying 0.06x2 + -6x + 175 = 0 Reorder the terms: 175 + -6x + 0.06x2 = 0 Solving 175 + -6x + 0.06x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.06 the coefficient of the squared term: Divide each side by '0.06'. 2916.666667 + -100x + x2 = 0 Move the constant term to the right: Add '-2916.666667' to each side of the equation. 2916.666667 + -100x + -2916.666667 + x2 = 0 + -2916.666667 Reorder the terms: 2916.666667 + -2916.666667 + -100x + x2 = 0 + -2916.666667 Combine like terms: 2916.666667 + -2916.666667 = 0.000000 0.000000 + -100x + x2 = 0 + -2916.666667 -100x + x2 = 0 + -2916.666667 Combine like terms: 0 + -2916.666667 = -2916.666667 -100x + x2 = -2916.666667 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -2916.666667 + 2500 Reorder the terms: 2500 + -100x + x2 = -2916.666667 + 2500 Combine like terms: -2916.666667 + 2500 = -416.666667 2500 + -100x + x2 = -416.666667 Factor a perfect square on the left side: (x + -50)(x + -50) = -416.666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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