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Simplifying (x + -4)(x + -2) = -2 Reorder the terms: (-4 + x)(x + -2) = -2 Reorder the terms: (-4 + x)(-2 + x) = -2 Multiply (-4 + x) * (-2 + x) (-4(-2 + x) + x(-2 + x)) = -2 ((-2 * -4 + x * -4) + x(-2 + x)) = -2 ((8 + -4x) + x(-2 + x)) = -2 (8 + -4x + (-2 * x + x * x)) = -2 (8 + -4x + (-2x + x2)) = -2 Combine like terms: -4x + -2x = -6x (8 + -6x + x2) = -2 Solving 8 + -6x + x2 = -2 Solving for variable 'x'. Reorder the terms: 8 + 2 + -6x + x2 = -2 + 2 Combine like terms: 8 + 2 = 10 10 + -6x + x2 = -2 + 2 Combine like terms: -2 + 2 = 0 10 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6x + x2 = 0 + -10 -6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6x + x2 = -10 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -10 + 9 Reorder the terms: 9 + -6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6x + x2 = -1 Factor a perfect square on the left side: (x + -3)(x + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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