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Simplifying 3x2 + -30x + 77 = 0 Reorder the terms: 77 + -30x + 3x2 = 0 Solving 77 + -30x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 25.66666667 + -10x + x2 = 0 Move the constant term to the right: Add '-25.66666667' to each side of the equation. 25.66666667 + -10x + -25.66666667 + x2 = 0 + -25.66666667 Reorder the terms: 25.66666667 + -25.66666667 + -10x + x2 = 0 + -25.66666667 Combine like terms: 25.66666667 + -25.66666667 = 0.00000000 0.00000000 + -10x + x2 = 0 + -25.66666667 -10x + x2 = 0 + -25.66666667 Combine like terms: 0 + -25.66666667 = -25.66666667 -10x + x2 = -25.66666667 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -25.66666667 + 25 Reorder the terms: 25 + -10x + x2 = -25.66666667 + 25 Combine like terms: -25.66666667 + 25 = -0.66666667 25 + -10x + x2 = -0.66666667 Factor a perfect square on the left side: (x + -5)(x + -5) = -0.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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