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Simplifying 4x2 + 8x + 16 = 11 Reorder the terms: 16 + 8x + 4x2 = 11 Solving 16 + 8x + 4x2 = 11 Solving for variable 'x'. Reorder the terms: 16 + -11 + 8x + 4x2 = 11 + -11 Combine like terms: 16 + -11 = 5 5 + 8x + 4x2 = 11 + -11 Combine like terms: 11 + -11 = 0 5 + 8x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + 2x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 2x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 2x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 2x + x2 = 0 + -1.25 2x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 2x + x2 = -1.25 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.25 + 1 Reorder the terms: 1 + 2x + x2 = -1.25 + 1 Combine like terms: -1.25 + 1 = -0.25 1 + 2x + x2 = -0.25 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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