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Simplifying (x + 5)(x + -1) = x(2) + -7 Reorder the terms: (5 + x)(x + -1) = x(2) + -7 Reorder the terms: (5 + x)(-1 + x) = x(2) + -7 Multiply (5 + x) * (-1 + x) (5(-1 + x) + x(-1 + x)) = x(2) + -7 ((-1 * 5 + x * 5) + x(-1 + x)) = x(2) + -7 ((-5 + 5x) + x(-1 + x)) = x(2) + -7 (-5 + 5x + (-1 * x + x * x)) = x(2) + -7 (-5 + 5x + (-1x + x2)) = x(2) + -7 Combine like terms: 5x + -1x = 4x (-5 + 4x + x2) = x(2) + -7 Reorder the terms for easier multiplication: -5 + 4x + x2 = 2x + -7 Reorder the terms: -5 + 4x + x2 = -7 + 2x Solving -5 + 4x + x2 = -7 + 2x Solving for variable 'x'. Reorder the terms: -5 + 7 + 4x + -2x + x2 = -7 + 2x + 7 + -2x Combine like terms: -5 + 7 = 2 2 + 4x + -2x + x2 = -7 + 2x + 7 + -2x Combine like terms: 4x + -2x = 2x 2 + 2x + x2 = -7 + 2x + 7 + -2x Reorder the terms: 2 + 2x + x2 = -7 + 7 + 2x + -2x Combine like terms: -7 + 7 = 0 2 + 2x + x2 = 0 + 2x + -2x 2 + 2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + x2 = 0 + -2 2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + x2 = -2 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 = -2 + 1 Reorder the terms: 1 + 2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + 2x + x2 = -1 Factor a perfect square on the left side: (x + 1)(x + 1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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