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Simplifying (x + -2) * 2 = (x + 2)(x + -2) + 8 Reorder the terms: (-2 + x) * 2 = (x + 2)(x + -2) + 8 Reorder the terms for easier multiplication: 2(-2 + x) = (x + 2)(x + -2) + 8 (-2 * 2 + x * 2) = (x + 2)(x + -2) + 8 (-4 + 2x) = (x + 2)(x + -2) + 8 Reorder the terms: -4 + 2x = (2 + x)(x + -2) + 8 Reorder the terms: -4 + 2x = (2 + x)(-2 + x) + 8 Multiply (2 + x) * (-2 + x) -4 + 2x = (2(-2 + x) + x(-2 + x)) + 8 -4 + 2x = ((-2 * 2 + x * 2) + x(-2 + x)) + 8 -4 + 2x = ((-4 + 2x) + x(-2 + x)) + 8 -4 + 2x = (-4 + 2x + (-2 * x + x * x)) + 8 -4 + 2x = (-4 + 2x + (-2x + x2)) + 8 Combine like terms: 2x + -2x = 0 -4 + 2x = (-4 + 0 + x2) + 8 -4 + 2x = (-4 + x2) + 8 Reorder the terms: -4 + 2x = -4 + 8 + x2 Combine like terms: -4 + 8 = 4 -4 + 2x = 4 + x2 Solving -4 + 2x = 4 + x2 Solving for variable 'x'. Reorder the terms: -4 + -4 + 2x + -1x2 = 4 + x2 + -4 + -1x2 Combine like terms: -4 + -4 = -8 -8 + 2x + -1x2 = 4 + x2 + -4 + -1x2 Reorder the terms: -8 + 2x + -1x2 = 4 + -4 + x2 + -1x2 Combine like terms: 4 + -4 = 0 -8 + 2x + -1x2 = 0 + x2 + -1x2 -8 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 8 + -2x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + x2 = 0 + -8 -2x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2x + x2 = -8 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 = -8 + 1 Reorder the terms: 1 + -2x + x2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2x + x2 = -7 Factor a perfect square on the left side: (x + -1)(x + -1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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