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Simplifying (3x * x) + -1(3x + 2)(x + -1) + -1(x + 2) = 0 Multiply x * x (3x2) + -1(3x + 2)(x + -1) + -1(x + 2) = 0 Reorder the terms: (3x2) + -1(2 + 3x)(x + -1) + -1(x + 2) = 0 Reorder the terms: (3x2) + -1(2 + 3x)(-1 + x) + -1(x + 2) = 0 Multiply (2 + 3x) * (-1 + x) (3x2) + -1(2(-1 + x) + 3x * (-1 + x)) + -1(x + 2) = 0 (3x2) + -1((-1 * 2 + x * 2) + 3x * (-1 + x)) + -1(x + 2) = 0 (3x2) + -1((-2 + 2x) + 3x * (-1 + x)) + -1(x + 2) = 0 (3x2) + -1(-2 + 2x + (-1 * 3x + x * 3x)) + -1(x + 2) = 0 (3x2) + -1(-2 + 2x + (-3x + 3x2)) + -1(x + 2) = 0 Combine like terms: 2x + -3x = -1x (3x2) + -1(-2 + -1x + 3x2) + -1(x + 2) = 0 (3x2) + (-2 * -1 + -1x * -1 + 3x2 * -1) + -1(x + 2) = 0 (3x2) + (2 + 1x + -3x2) + -1(x + 2) = 0 Reorder the terms: (3x2) + 2 + 1x + -3x2 + -1(2 + x) = 0 (3x2) + 2 + 1x + -3x2 + (2 * -1 + x * -1) = 0 (3x2) + 2 + 1x + -3x2 + (-2 + -1x) = 0 Reorder the terms: 2 + -2 + 1x + -1x + (3x2) + -3x2 = 0 Combine like terms: 2 + -2 = 0 0 + 1x + -1x + (3x2) + -3x2 = 0 1x + -1x + (3x2) + -3x2 = 0 Combine like terms: 1x + -1x = 0 0 + (3x2) + -3x2 = 0 (3x2) + -3x2 = 0 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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