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Simplifying (x + 2)(x + 8) = 5x Reorder the terms: (2 + x)(x + 8) = 5x Reorder the terms: (2 + x)(8 + x) = 5x Multiply (2 + x) * (8 + x) (2(8 + x) + x(8 + x)) = 5x ((8 * 2 + x * 2) + x(8 + x)) = 5x ((16 + 2x) + x(8 + x)) = 5x (16 + 2x + (8 * x + x * x)) = 5x (16 + 2x + (8x + x2)) = 5x Combine like terms: 2x + 8x = 10x (16 + 10x + x2) = 5x Solving 16 + 10x + x2 = 5x Solving for variable 'x'. Reorder the terms: 16 + 10x + -5x + x2 = 5x + -5x Combine like terms: 10x + -5x = 5x 16 + 5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 16 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 5x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 5x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x + x2 = 0 + -16 5x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 5x + x2 = -16 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -16 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -16 + 6.25 Combine like terms: -16 + 6.25 = -9.75 6.25 + 5x + x2 = -9.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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