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Simplifying (x + 4)(x + 4) = x Reorder the terms: (4 + x)(x + 4) = x Reorder the terms: (4 + x)(4 + x) = x Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) = x ((4 * 4 + x * 4) + x(4 + x)) = x ((16 + 4x) + x(4 + x)) = x (16 + 4x + (4 * x + x * x)) = x (16 + 4x + (4x + x2)) = x Combine like terms: 4x + 4x = 8x (16 + 8x + x2) = x Solving 16 + 8x + x2 = x Solving for variable 'x'. Reorder the terms: 16 + 8x + -1x + x2 = x + -1x Combine like terms: 8x + -1x = 7x 16 + 7x + x2 = x + -1x Combine like terms: x + -1x = 0 16 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 7x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 7x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7x + x2 = 0 + -16 7x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 7x + x2 = -16 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -16 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -16 + 12.25 Combine like terms: -16 + 12.25 = -3.75 12.25 + 7x + x2 = -3.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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