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Simplifying (x + 1)(x + -2) = (2X + 4)(3X + 2) Reorder the terms: (1 + x)(x + -2) = (2X + 4)(3X + 2) Reorder the terms: (1 + x)(-2 + x) = (2X + 4)(3X + 2) Multiply (1 + x) * (-2 + x) (1(-2 + x) + x(-2 + x)) = (2X + 4)(3X + 2) ((-2 * 1 + x * 1) + x(-2 + x)) = (2X + 4)(3X + 2) ((-2 + 1x) + x(-2 + x)) = (2X + 4)(3X + 2) (-2 + 1x + (-2 * x + x * x)) = (2X + 4)(3X + 2) (-2 + 1x + (-2x + x2)) = (2X + 4)(3X + 2) Combine like terms: 1x + -2x = -1x (-2 + -1x + x2) = (2X + 4)(3X + 2) Reorder the terms: -2 + -1x + x2 = (4 + 2X)(3X + 2) Reorder the terms: -2 + -1x + x2 = (4 + 2X)(2 + 3X) Multiply (4 + 2X) * (2 + 3X) -2 + -1x + x2 = (4(2 + 3X) + 2X * (2 + 3X)) -2 + -1x + x2 = ((2 * 4 + 3X * 4) + 2X * (2 + 3X)) -2 + -1x + x2 = ((8 + 12X) + 2X * (2 + 3X)) -2 + -1x + x2 = (8 + 12X + (2 * 2X + 3X * 2X)) -2 + -1x + x2 = (8 + 12X + (4X + 6X2)) Combine like terms: 12X + 4X = 16X -2 + -1x + x2 = (8 + 16X + 6X2) Solving -2 + -1x + x2 = 8 + 16X + 6X2 Solving for variable 'x'. Reorder the terms: -2 + -8 + -16X + -6X2 + -1x + x2 = 8 + 16X + 6X2 + -8 + -16X + -6X2 Combine like terms: -2 + -8 = -10 -10 + -16X + -6X2 + -1x + x2 = 8 + 16X + 6X2 + -8 + -16X + -6X2 Reorder the terms: -10 + -16X + -6X2 + -1x + x2 = 8 + -8 + 16X + -16X + 6X2 + -6X2 Combine like terms: 8 + -8 = 0 -10 + -16X + -6X2 + -1x + x2 = 0 + 16X + -16X + 6X2 + -6X2 -10 + -16X + -6X2 + -1x + x2 = 16X + -16X + 6X2 + -6X2 Combine like terms: 16X + -16X = 0 -10 + -16X + -6X2 + -1x + x2 = 0 + 6X2 + -6X2 -10 + -16X + -6X2 + -1x + x2 = 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -10 + -16X + -6X2 + -1x + x2 = 0 The solution to this equation could not be determined.
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