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Simplifying (x2 + -1)(2x + -1) = 6(x + 1) Reorder the terms: (-1 + x2)(2x + -1) = 6(x + 1) Reorder the terms: (-1 + x2)(-1 + 2x) = 6(x + 1) Multiply (-1 + x2) * (-1 + 2x) (-1(-1 + 2x) + x2(-1 + 2x)) = 6(x + 1) ((-1 * -1 + 2x * -1) + x2(-1 + 2x)) = 6(x + 1) ((1 + -2x) + x2(-1 + 2x)) = 6(x + 1) (1 + -2x + (-1 * x2 + 2x * x2)) = 6(x + 1) (1 + -2x + (-1x2 + 2x3)) = 6(x + 1) (1 + -2x + -1x2 + 2x3) = 6(x + 1) Reorder the terms: 1 + -2x + -1x2 + 2x3 = 6(1 + x) 1 + -2x + -1x2 + 2x3 = (1 * 6 + x * 6) 1 + -2x + -1x2 + 2x3 = (6 + 6x) Solving 1 + -2x + -1x2 + 2x3 = 6 + 6x Solving for variable 'x'. Reorder the terms: 1 + -6 + -2x + -6x + -1x2 + 2x3 = 6 + 6x + -6 + -6x Combine like terms: 1 + -6 = -5 -5 + -2x + -6x + -1x2 + 2x3 = 6 + 6x + -6 + -6x Combine like terms: -2x + -6x = -8x -5 + -8x + -1x2 + 2x3 = 6 + 6x + -6 + -6x Reorder the terms: -5 + -8x + -1x2 + 2x3 = 6 + -6 + 6x + -6x Combine like terms: 6 + -6 = 0 -5 + -8x + -1x2 + 2x3 = 0 + 6x + -6x -5 + -8x + -1x2 + 2x3 = 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -8x + -1x2 + 2x3 = 0 The solution to this equation could not be determined.
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