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Simplifying 3x2 + 48x + 325 = 0 Reorder the terms: 325 + 48x + 3x2 = 0 Solving 325 + 48x + 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'. 108.3333333 + 16x + x2 = 0 Move the constant term to the right: Add '-108.3333333' to each side of the equation. 108.3333333 + 16x + -108.3333333 + x2 = 0 + -108.3333333 Reorder the terms: 108.3333333 + -108.3333333 + 16x + x2 = 0 + -108.3333333 Combine like terms: 108.3333333 + -108.3333333 = 0.0000000 0.0000000 + 16x + x2 = 0 + -108.3333333 16x + x2 = 0 + -108.3333333 Combine like terms: 0 + -108.3333333 = -108.3333333 16x + x2 = -108.3333333 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -108.3333333 + 64 Reorder the terms: 64 + 16x + x2 = -108.3333333 + 64 Combine like terms: -108.3333333 + 64 = -44.3333333 64 + 16x + x2 = -44.3333333 Factor a perfect square on the left side: (x + 8)(x + 8) = -44.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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