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Simplifying 3x2 + 30x + 100 = 0 Reorder the terms: 100 + 30x + 3x2 = 0 Solving 100 + 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'. 33.33333333 + 10x + x2 = 0 Move the constant term to the right: Add '-33.33333333' to each side of the equation. 33.33333333 + 10x + -33.33333333 + x2 = 0 + -33.33333333 Reorder the terms: 33.33333333 + -33.33333333 + 10x + x2 = 0 + -33.33333333 Combine like terms: 33.33333333 + -33.33333333 = 0.00000000 0.00000000 + 10x + x2 = 0 + -33.33333333 10x + x2 = 0 + -33.33333333 Combine like terms: 0 + -33.33333333 = -33.33333333 10x + x2 = -33.33333333 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 = -33.33333333 + 25 Reorder the terms: 25 + 10x + x2 = -33.33333333 + 25 Combine like terms: -33.33333333 + 25 = -8.33333333 25 + 10x + x2 = -8.33333333 Factor a perfect square on the left side: (x + 5)(x + 5) = -8.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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