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Simplifying 0 = 4x2 + -33x + 76 Reorder the terms: 0 = 76 + -33x + 4x2 Solving 0 = 76 + -33x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -76 = -76 -76 + 33x + -4x2 = 76 + -33x + 4x2 + -76 + 33x + -4x2 Reorder the terms: -76 + 33x + -4x2 = 76 + -76 + -33x + 33x + 4x2 + -4x2 Combine like terms: 76 + -76 = 0 -76 + 33x + -4x2 = 0 + -33x + 33x + 4x2 + -4x2 -76 + 33x + -4x2 = -33x + 33x + 4x2 + -4x2 Combine like terms: -33x + 33x = 0 -76 + 33x + -4x2 = 0 + 4x2 + -4x2 -76 + 33x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -76 + 33x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 19 + -8.25x + x2 = 0 Move the constant term to the right: Add '-19' to each side of the equation. 19 + -8.25x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -8.25x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8.25x + x2 = 0 + -19 -8.25x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -8.25x + x2 = -19 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 = -19 + 17.015625 Reorder the terms: 17.015625 + -8.25x + x2 = -19 + 17.015625 Combine like terms: -19 + 17.015625 = -1.984375 17.015625 + -8.25x + x2 = -1.984375 Factor a perfect square on the left side: (x + -4.125)(x + -4.125) = -1.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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