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Simplifying 3x(x + -3) = 3(x + -1)(x + -2) + -6 Reorder the terms: 3x(-3 + x) = 3(x + -1)(x + -2) + -6 (-3 * 3x + x * 3x) = 3(x + -1)(x + -2) + -6 (-9x + 3x2) = 3(x + -1)(x + -2) + -6 Reorder the terms: -9x + 3x2 = 3(-1 + x)(x + -2) + -6 Reorder the terms: -9x + 3x2 = 3(-1 + x)(-2 + x) + -6 Multiply (-1 + x) * (-2 + x) -9x + 3x2 = 3(-1(-2 + x) + x(-2 + x)) + -6 -9x + 3x2 = 3((-2 * -1 + x * -1) + x(-2 + x)) + -6 -9x + 3x2 = 3((2 + -1x) + x(-2 + x)) + -6 -9x + 3x2 = 3(2 + -1x + (-2 * x + x * x)) + -6 -9x + 3x2 = 3(2 + -1x + (-2x + x2)) + -6 Combine like terms: -1x + -2x = -3x -9x + 3x2 = 3(2 + -3x + x2) + -6 -9x + 3x2 = (2 * 3 + -3x * 3 + x2 * 3) + -6 -9x + 3x2 = (6 + -9x + 3x2) + -6 Reorder the terms: -9x + 3x2 = 6 + -6 + -9x + 3x2 Combine like terms: 6 + -6 = 0 -9x + 3x2 = 0 + -9x + 3x2 -9x + 3x2 = -9x + 3x2 Add '9x' to each side of the equation. -9x + 9x + 3x2 = -9x + 9x + 3x2 Combine like terms: -9x + 9x = 0 0 + 3x2 = -9x + 9x + 3x2 3x2 = -9x + 9x + 3x2 Combine like terms: -9x + 9x = 0 3x2 = 0 + 3x2 3x2 = 3x2 Add '-3x2' to each side of the equation. 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 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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