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Simplifying 4x * 4x + 33x = -54 Reorder the terms for easier multiplication: 4 * 4x * x + 33x = -54 Multiply 4 * 4 16x * x + 33x = -54 Multiply x * x 16x2 + 33x = -54 Reorder the terms: 33x + 16x2 = -54 Solving 33x + 16x2 = -54 Solving for variable 'x'. Reorder the terms: 54 + 33x + 16x2 = -54 + 54 Combine like terms: -54 + 54 = 0 54 + 33x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.375 + 2.0625x + x2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + 2.0625x + -3.375 + x2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + 2.0625x + x2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + 2.0625x + x2 = 0 + -3.375 2.0625x + x2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 2.0625x + x2 = -3.375 The x term is 2.0625x. Take half its coefficient (1.03125). Square it (1.063476563) and add it to both sides. Add '1.063476563' to each side of the equation. 2.0625x + 1.063476563 + x2 = -3.375 + 1.063476563 Reorder the terms: 1.063476563 + 2.0625x + x2 = -3.375 + 1.063476563 Combine like terms: -3.375 + 1.063476563 = -2.311523437 1.063476563 + 2.0625x + x2 = -2.311523437 Factor a perfect square on the left side: (x + 1.03125)(x + 1.03125) = -2.311523437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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