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Simplifying 4x2 + -3x + 9 = 0 Reorder the terms: 9 + -3x + 4x2 = 0 Solving 9 + -3x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + -0.75x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -0.75x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -0.75x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.75x + x2 = 0 + -2.25 -0.75x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -0.75x + x2 = -2.25 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -2.25 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -2.25 + 0.140625 Combine like terms: -2.25 + 0.140625 = -2.109375 0.140625 + -0.75x + x2 = -2.109375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -2.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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