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Simplifying 4x2 + 33x + 340 = 0 Reorder the terms: 340 + 33x + 4x2 = 0 Solving 340 + 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'. 85 + 8.25x + x2 = 0 Move the constant term to the right: Add '-85' to each side of the equation. 85 + 8.25x + -85 + x2 = 0 + -85 Reorder the terms: 85 + -85 + 8.25x + x2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 8.25x + x2 = 0 + -85 8.25x + x2 = 0 + -85 Combine like terms: 0 + -85 = -85 8.25x + x2 = -85 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 = -85 + 17.015625 Reorder the terms: 17.015625 + 8.25x + x2 = -85 + 17.015625 Combine like terms: -85 + 17.015625 = -67.984375 17.015625 + 8.25x + x2 = -67.984375 Factor a perfect square on the left side: (x + 4.125)(x + 4.125) = -67.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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