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Simplifying 4x2 + -3x + 18 = 0 Reorder the terms: 18 + -3x + 4x2 = 0 Solving 18 + -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'. 4.5 + -0.75x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -0.75x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -0.75x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.75x + x2 = 0 + -4.5 -0.75x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -0.75x + x2 = -4.5 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 = -4.5 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -4.5 + 0.140625 Combine like terms: -4.5 + 0.140625 = -4.359375 0.140625 + -0.75x + x2 = -4.359375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -4.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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