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Simplifying (x + 2)(x + -6) = -18 Reorder the terms: (2 + x)(x + -6) = -18 Reorder the terms: (2 + x)(-6 + x) = -18 Multiply (2 + x) * (-6 + x) (2(-6 + x) + x(-6 + x)) = -18 ((-6 * 2 + x * 2) + x(-6 + x)) = -18 ((-12 + 2x) + x(-6 + x)) = -18 (-12 + 2x + (-6 * x + x * x)) = -18 (-12 + 2x + (-6x + x2)) = -18 Combine like terms: 2x + -6x = -4x (-12 + -4x + x2) = -18 Solving -12 + -4x + x2 = -18 Solving for variable 'x'. Reorder the terms: -12 + 18 + -4x + x2 = -18 + 18 Combine like terms: -12 + 18 = 6 6 + -4x + x2 = -18 + 18 Combine like terms: -18 + 18 = 0 6 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -4x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x + x2 = 0 + -6 -4x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4x + x2 = -6 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -6 + 4 Reorder the terms: 4 + -4x + x2 = -6 + 4 Combine like terms: -6 + 4 = -2 4 + -4x + x2 = -2 Factor a perfect square on the left side: (x + -2)(x + -2) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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