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Simplifying (x + 2)(x + -2) = (x + 3)(x + -3) Reorder the terms: (2 + x)(x + -2) = (x + 3)(x + -3) Reorder the terms: (2 + x)(-2 + x) = (x + 3)(x + -3) Multiply (2 + x) * (-2 + x) (2(-2 + x) + x(-2 + x)) = (x + 3)(x + -3) ((-2 * 2 + x * 2) + x(-2 + x)) = (x + 3)(x + -3) ((-4 + 2x) + x(-2 + x)) = (x + 3)(x + -3) (-4 + 2x + (-2 * x + x * x)) = (x + 3)(x + -3) (-4 + 2x + (-2x + x2)) = (x + 3)(x + -3) Combine like terms: 2x + -2x = 0 (-4 + 0 + x2) = (x + 3)(x + -3) (-4 + x2) = (x + 3)(x + -3) Reorder the terms: -4 + x2 = (3 + x)(x + -3) Reorder the terms: -4 + x2 = (3 + x)(-3 + x) Multiply (3 + x) * (-3 + x) -4 + x2 = (3(-3 + x) + x(-3 + x)) -4 + x2 = ((-3 * 3 + x * 3) + x(-3 + x)) -4 + x2 = ((-9 + 3x) + x(-3 + x)) -4 + x2 = (-9 + 3x + (-3 * x + x * x)) -4 + x2 = (-9 + 3x + (-3x + x2)) Combine like terms: 3x + -3x = 0 -4 + x2 = (-9 + 0 + x2) -4 + x2 = (-9 + x2) Add '-1x2' to each side of the equation. -4 + x2 + -1x2 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 0 = -9 + x2 + -1x2 -4 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 = -9 + 0 -4 = -9 Solving -4 = -9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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