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Simplifying (x + -6)(x + -6) = -5 Reorder the terms: (-6 + x)(x + -6) = -5 Reorder the terms: (-6 + x)(-6 + x) = -5 Multiply (-6 + x) * (-6 + x) (-6(-6 + x) + x(-6 + x)) = -5 ((-6 * -6 + x * -6) + x(-6 + x)) = -5 ((36 + -6x) + x(-6 + x)) = -5 (36 + -6x + (-6 * x + x * x)) = -5 (36 + -6x + (-6x + x2)) = -5 Combine like terms: -6x + -6x = -12x (36 + -12x + x2) = -5 Solving 36 + -12x + x2 = -5 Solving for variable 'x'. Reorder the terms: 36 + 5 + -12x + x2 = -5 + 5 Combine like terms: 36 + 5 = 41 41 + -12x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 41 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -12x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -12x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -12x + x2 = 0 + -41 -12x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -12x + x2 = -41 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -41 + 36 Reorder the terms: 36 + -12x + x2 = -41 + 36 Combine like terms: -41 + 36 = -5 36 + -12x + x2 = -5 Factor a perfect square on the left side: (x + -6)(x + -6) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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