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Simplifying 32x2 + 84x + 135 = 0 Reorder the terms: 135 + 84x + 32x2 = 0 Solving 135 + 84x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 4.21875 + 2.625x + x2 = 0 Move the constant term to the right: Add '-4.21875' to each side of the equation. 4.21875 + 2.625x + -4.21875 + x2 = 0 + -4.21875 Reorder the terms: 4.21875 + -4.21875 + 2.625x + x2 = 0 + -4.21875 Combine like terms: 4.21875 + -4.21875 = 0.00000 0.00000 + 2.625x + x2 = 0 + -4.21875 2.625x + x2 = 0 + -4.21875 Combine like terms: 0 + -4.21875 = -4.21875 2.625x + x2 = -4.21875 The x term is 2.625x. Take half its coefficient (1.3125). Square it (1.72265625) and add it to both sides. Add '1.72265625' to each side of the equation. 2.625x + 1.72265625 + x2 = -4.21875 + 1.72265625 Reorder the terms: 1.72265625 + 2.625x + x2 = -4.21875 + 1.72265625 Combine like terms: -4.21875 + 1.72265625 = -2.49609375 1.72265625 + 2.625x + x2 = -2.49609375 Factor a perfect square on the left side: (x + 1.3125)(x + 1.3125) = -2.49609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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