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Simplifying F(x) = (x + -5)(x + 3)(x + 2) Multiply F * x xF = (x + -5)(x + 3)(x + 2) Reorder the terms: xF = (-5 + x)(x + 3)(x + 2) Reorder the terms: xF = (-5 + x)(3 + x)(x + 2) Reorder the terms: xF = (-5 + x)(3 + x)(2 + x) Multiply (-5 + x) * (3 + x) xF = (-5(3 + x) + x(3 + x))(2 + x) xF = ((3 * -5 + x * -5) + x(3 + x))(2 + x) xF = ((-15 + -5x) + x(3 + x))(2 + x) xF = (-15 + -5x + (3 * x + x * x))(2 + x) xF = (-15 + -5x + (3x + x2))(2 + x) Combine like terms: -5x + 3x = -2x xF = (-15 + -2x + x2)(2 + x) Multiply (-15 + -2x + x2) * (2 + x) xF = (-15(2 + x) + -2x * (2 + x) + x2(2 + x)) xF = ((2 * -15 + x * -15) + -2x * (2 + x) + x2(2 + x)) xF = ((-30 + -15x) + -2x * (2 + x) + x2(2 + x)) xF = (-30 + -15x + (2 * -2x + x * -2x) + x2(2 + x)) xF = (-30 + -15x + (-4x + -2x2) + x2(2 + x)) xF = (-30 + -15x + -4x + -2x2 + (2 * x2 + x * x2)) xF = (-30 + -15x + -4x + -2x2 + (2x2 + x3)) Combine like terms: -15x + -4x = -19x xF = (-30 + -19x + -2x2 + 2x2 + x3) Combine like terms: -2x2 + 2x2 = 0 xF = (-30 + -19x + 0 + x3) xF = (-30 + -19x + x3) Solving xF = -30 + -19x + x3 Solving for variable 'x'. Reorder the terms: 30 + 19x + xF + -1x3 = -30 + -19x + x3 + 30 + 19x + -1x3 Reorder the terms: 30 + 19x + xF + -1x3 = -30 + 30 + -19x + 19x + x3 + -1x3 Combine like terms: -30 + 30 = 0 30 + 19x + xF + -1x3 = 0 + -19x + 19x + x3 + -1x3 30 + 19x + xF + -1x3 = -19x + 19x + x3 + -1x3 Combine like terms: -19x + 19x = 0 30 + 19x + xF + -1x3 = 0 + x3 + -1x3 30 + 19x + xF + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 30 + 19x + xF + -1x3 = 0 The solution to this equation could not be determined.
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