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Simplifying 4x2 + -33x + 90 = 0 Reorder the terms: 90 + -33x + 4x2 = 0 Solving 90 + -33x + 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'. 22.5 + -8.25x + x2 = 0 Move the constant term to the right: Add '-22.5' to each side of the equation. 22.5 + -8.25x + -22.5 + x2 = 0 + -22.5 Reorder the terms: 22.5 + -22.5 + -8.25x + x2 = 0 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -8.25x + x2 = 0 + -22.5 -8.25x + x2 = 0 + -22.5 Combine like terms: 0 + -22.5 = -22.5 -8.25x + x2 = -22.5 The x term is -8.25x. Take half its coefficient (-4.125). Square it (17.015625) and add it to both sides. Add '17.015625' to each side of the equation. -8.25x + 17.015625 + x2 = -22.5 + 17.015625 Reorder the terms: 17.015625 + -8.25x + x2 = -22.5 + 17.015625 Combine like terms: -22.5 + 17.015625 = -5.484375 17.015625 + -8.25x + x2 = -5.484375 Factor a perfect square on the left side: (x + -4.125)(x + -4.125) = -5.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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