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Simplifying (x + 3)(x + -3) = x(x + 9) + -9(x + 1) Reorder the terms: (3 + x)(x + -3) = x(x + 9) + -9(x + 1) Reorder the terms: (3 + x)(-3 + x) = x(x + 9) + -9(x + 1) Multiply (3 + x) * (-3 + x) (3(-3 + x) + x(-3 + x)) = x(x + 9) + -9(x + 1) ((-3 * 3 + x * 3) + x(-3 + x)) = x(x + 9) + -9(x + 1) ((-9 + 3x) + x(-3 + x)) = x(x + 9) + -9(x + 1) (-9 + 3x + (-3 * x + x * x)) = x(x + 9) + -9(x + 1) (-9 + 3x + (-3x + x2)) = x(x + 9) + -9(x + 1) Combine like terms: 3x + -3x = 0 (-9 + 0 + x2) = x(x + 9) + -9(x + 1) (-9 + x2) = x(x + 9) + -9(x + 1) Reorder the terms: -9 + x2 = x(9 + x) + -9(x + 1) -9 + x2 = (9 * x + x * x) + -9(x + 1) -9 + x2 = (9x + x2) + -9(x + 1) Reorder the terms: -9 + x2 = 9x + x2 + -9(1 + x) -9 + x2 = 9x + x2 + (1 * -9 + x * -9) -9 + x2 = 9x + x2 + (-9 + -9x) Reorder the terms: -9 + x2 = -9 + 9x + -9x + x2 Combine like terms: 9x + -9x = 0 -9 + x2 = -9 + 0 + x2 -9 + x2 = -9 + x2 Add '9' to each side of the equation. -9 + 9 + x2 = -9 + 9 + x2 Combine like terms: -9 + 9 = 0 0 + x2 = -9 + 9 + x2 x2 = -9 + 9 + x2 Combine like terms: -9 + 9 = 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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