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Simplifying 6x2 + -57x + 370 = 0 Reorder the terms: 370 + -57x + 6x2 = 0 Solving 370 + -57x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 61.66666667 + -9.5x + x2 = 0 Move the constant term to the right: Add '-61.66666667' to each side of the equation. 61.66666667 + -9.5x + -61.66666667 + x2 = 0 + -61.66666667 Reorder the terms: 61.66666667 + -61.66666667 + -9.5x + x2 = 0 + -61.66666667 Combine like terms: 61.66666667 + -61.66666667 = 0.00000000 0.00000000 + -9.5x + x2 = 0 + -61.66666667 -9.5x + x2 = 0 + -61.66666667 Combine like terms: 0 + -61.66666667 = -61.66666667 -9.5x + x2 = -61.66666667 The x term is -9.5x. Take half its coefficient (-4.75). Square it (22.5625) and add it to both sides. Add '22.5625' to each side of the equation. -9.5x + 22.5625 + x2 = -61.66666667 + 22.5625 Reorder the terms: 22.5625 + -9.5x + x2 = -61.66666667 + 22.5625 Combine like terms: -61.66666667 + 22.5625 = -39.10416667 22.5625 + -9.5x + x2 = -39.10416667 Factor a perfect square on the left side: (x + -4.75)(x + -4.75) = -39.10416667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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