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Simplifying (x + -2)(x + -6) + 5 = 0 Reorder the terms: (-2 + x)(x + -6) + 5 = 0 Reorder the terms: (-2 + x)(-6 + x) + 5 = 0 Multiply (-2 + x) * (-6 + x) (-2(-6 + x) + x(-6 + x)) + 5 = 0 ((-6 * -2 + x * -2) + x(-6 + x)) + 5 = 0 ((12 + -2x) + x(-6 + x)) + 5 = 0 (12 + -2x + (-6 * x + x * x)) + 5 = 0 (12 + -2x + (-6x + x2)) + 5 = 0 Combine like terms: -2x + -6x = -8x (12 + -8x + x2) + 5 = 0 Reorder the terms: 12 + 5 + -8x + x2 = 0 Combine like terms: 12 + 5 = 17 17 + -8x + x2 = 0 Solving 17 + -8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -8x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -8x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -8x + x2 = 0 + -17 -8x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -8x + x2 = -17 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -17 + 16 Reorder the terms: 16 + -8x + x2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + -8x + x2 = -1 Factor a perfect square on the left side: (x + -4)(x + -4) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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