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Simplifying (x + 3)(x + 5) = x Reorder the terms: (3 + x)(x + 5) = x Reorder the terms: (3 + x)(5 + x) = x Multiply (3 + x) * (5 + x) (3(5 + x) + x(5 + x)) = x ((5 * 3 + x * 3) + x(5 + x)) = x ((15 + 3x) + x(5 + x)) = x (15 + 3x + (5 * x + x * x)) = x (15 + 3x + (5x + x2)) = x Combine like terms: 3x + 5x = 8x (15 + 8x + x2) = x Solving 15 + 8x + x2 = x Solving for variable 'x'. Reorder the terms: 15 + 8x + -1x + x2 = x + -1x Combine like terms: 8x + -1x = 7x 15 + 7x + x2 = x + -1x Combine like terms: x + -1x = 0 15 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 7x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 7x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7x + x2 = 0 + -15 7x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 7x + x2 = -15 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 = -15 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -15 + 12.25 Combine like terms: -15 + 12.25 = -2.75 12.25 + 7x + x2 = -2.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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