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Simplifying 4x2 + 32x + 67 = 0 Reorder the terms: 67 + 32x + 4x2 = 0 Solving 67 + 32x + 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'. 16.75 + 8x + x2 = 0 Move the constant term to the right: Add '-16.75' to each side of the equation. 16.75 + 8x + -16.75 + x2 = 0 + -16.75 Reorder the terms: 16.75 + -16.75 + 8x + x2 = 0 + -16.75 Combine like terms: 16.75 + -16.75 = 0.00 0.00 + 8x + x2 = 0 + -16.75 8x + x2 = 0 + -16.75 Combine like terms: 0 + -16.75 = -16.75 8x + x2 = -16.75 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -16.75 + 16 Reorder the terms: 16 + 8x + x2 = -16.75 + 16 Combine like terms: -16.75 + 16 = -0.75 16 + 8x + x2 = -0.75 Factor a perfect square on the left side: (x + 4)(x + 4) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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