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Simplifying (x + -2)(x + 2) = x(x + 4) + -4(x + 1) Reorder the terms: (-2 + x)(x + 2) = x(x + 4) + -4(x + 1) Reorder the terms: (-2 + x)(2 + x) = x(x + 4) + -4(x + 1) Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x)) = x(x + 4) + -4(x + 1) ((2 * -2 + x * -2) + x(2 + x)) = x(x + 4) + -4(x + 1) ((-4 + -2x) + x(2 + x)) = x(x + 4) + -4(x + 1) (-4 + -2x + (2 * x + x * x)) = x(x + 4) + -4(x + 1) (-4 + -2x + (2x + x2)) = x(x + 4) + -4(x + 1) Combine like terms: -2x + 2x = 0 (-4 + 0 + x2) = x(x + 4) + -4(x + 1) (-4 + x2) = x(x + 4) + -4(x + 1) Reorder the terms: -4 + x2 = x(4 + x) + -4(x + 1) -4 + x2 = (4 * x + x * x) + -4(x + 1) -4 + x2 = (4x + x2) + -4(x + 1) Reorder the terms: -4 + x2 = 4x + x2 + -4(1 + x) -4 + x2 = 4x + x2 + (1 * -4 + x * -4) -4 + x2 = 4x + x2 + (-4 + -4x) Reorder the terms: -4 + x2 = -4 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 -4 + x2 = -4 + 0 + x2 -4 + x2 = -4 + x2 Add '4' to each side of the equation. -4 + 4 + x2 = -4 + 4 + x2 Combine like terms: -4 + 4 = 0 0 + x2 = -4 + 4 + x2 x2 = -4 + 4 + x2 Combine like terms: -4 + 4 = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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