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Simplifying 4x2 + 32x + 64 = -9 Reorder the terms: 64 + 32x + 4x2 = -9 Solving 64 + 32x + 4x2 = -9 Solving for variable 'x'. Reorder the terms: 64 + 9 + 32x + 4x2 = -9 + 9 Combine like terms: 64 + 9 = 73 73 + 32x + 4x2 = -9 + 9 Combine like terms: -9 + 9 = 0 73 + 32x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 18.25 + 8x + x2 = 0 Move the constant term to the right: Add '-18.25' to each side of the equation. 18.25 + 8x + -18.25 + x2 = 0 + -18.25 Reorder the terms: 18.25 + -18.25 + 8x + x2 = 0 + -18.25 Combine like terms: 18.25 + -18.25 = 0.00 0.00 + 8x + x2 = 0 + -18.25 8x + x2 = 0 + -18.25 Combine like terms: 0 + -18.25 = -18.25 8x + x2 = -18.25 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 = -18.25 + 16 Reorder the terms: 16 + 8x + x2 = -18.25 + 16 Combine like terms: -18.25 + 16 = -2.25 16 + 8x + x2 = -2.25 Factor a perfect square on the left side: (x + 4)(x + 4) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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