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Simplifying 0 = -16x2 + 33x + -18 Reorder the terms: 0 = -18 + 33x + -16x2 Solving 0 = -18 + 33x + -16x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + -33x + 16x2 = -18 + 33x + -16x2 + 18 + -33x + 16x2 Reorder the terms: 18 + -33x + 16x2 = -18 + 18 + 33x + -33x + -16x2 + 16x2 Combine like terms: -18 + 18 = 0 18 + -33x + 16x2 = 0 + 33x + -33x + -16x2 + 16x2 18 + -33x + 16x2 = 33x + -33x + -16x2 + 16x2 Combine like terms: 33x + -33x = 0 18 + -33x + 16x2 = 0 + -16x2 + 16x2 18 + -33x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 18 + -33x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.125 + -2.0625x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -2.0625x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -2.0625x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -2.0625x + x2 = 0 + -1.125 -2.0625x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -2.0625x + x2 = -1.125 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 = -1.125 + 1.063476563 Reorder the terms: 1.063476563 + -2.0625x + x2 = -1.125 + 1.063476563 Combine like terms: -1.125 + 1.063476563 = -0.061523437 1.063476563 + -2.0625x + x2 = -0.061523437 Factor a perfect square on the left side: (x + -1.03125)(x + -1.03125) = -0.061523437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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