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Simplifying F(x) = (3x + 3)(-2x + 6) Multiply F * x xF = (3x + 3)(-2x + 6) Reorder the terms: xF = (3 + 3x)(-2x + 6) Reorder the terms: xF = (3 + 3x)(6 + -2x) Multiply (3 + 3x) * (6 + -2x) xF = (3(6 + -2x) + 3x * (6 + -2x)) xF = ((6 * 3 + -2x * 3) + 3x * (6 + -2x)) xF = ((18 + -6x) + 3x * (6 + -2x)) xF = (18 + -6x + (6 * 3x + -2x * 3x)) xF = (18 + -6x + (18x + -6x2)) Combine like terms: -6x + 18x = 12x xF = (18 + 12x + -6x2) Solving xF = 18 + 12x + -6x2 Solving for variable 'x'. Reorder the terms: -18 + -12x + xF + 6x2 = 18 + 12x + -6x2 + -18 + -12x + 6x2 Reorder the terms: -18 + -12x + xF + 6x2 = 18 + -18 + 12x + -12x + -6x2 + 6x2 Combine like terms: 18 + -18 = 0 -18 + -12x + xF + 6x2 = 0 + 12x + -12x + -6x2 + 6x2 -18 + -12x + xF + 6x2 = 12x + -12x + -6x2 + 6x2 Combine like terms: 12x + -12x = 0 -18 + -12x + xF + 6x2 = 0 + -6x2 + 6x2 -18 + -12x + xF + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -18 + -12x + xF + 6x2 = 0 The solution to this equation could not be determined.
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