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Simplifying F(x) = (x + 1)(2x2 + -13x + 15) Multiply F * x xF = (x + 1)(2x2 + -13x + 15) Reorder the terms: xF = (1 + x)(2x2 + -13x + 15) Reorder the terms: xF = (1 + x)(15 + -13x + 2x2) Multiply (1 + x) * (15 + -13x + 2x2) xF = (1(15 + -13x + 2x2) + x(15 + -13x + 2x2)) xF = ((15 * 1 + -13x * 1 + 2x2 * 1) + x(15 + -13x + 2x2)) xF = ((15 + -13x + 2x2) + x(15 + -13x + 2x2)) xF = (15 + -13x + 2x2 + (15 * x + -13x * x + 2x2 * x)) xF = (15 + -13x + 2x2 + (15x + -13x2 + 2x3)) Reorder the terms: xF = (15 + -13x + 15x + 2x2 + -13x2 + 2x3) Combine like terms: -13x + 15x = 2x xF = (15 + 2x + 2x2 + -13x2 + 2x3) Combine like terms: 2x2 + -13x2 = -11x2 xF = (15 + 2x + -11x2 + 2x3) Solving xF = 15 + 2x + -11x2 + 2x3 Solving for variable 'x'. Reorder the terms: -15 + -2x + xF + 11x2 + -2x3 = 15 + 2x + -11x2 + 2x3 + -15 + -2x + 11x2 + -2x3 Reorder the terms: -15 + -2x + xF + 11x2 + -2x3 = 15 + -15 + 2x + -2x + -11x2 + 11x2 + 2x3 + -2x3 Combine like terms: 15 + -15 = 0 -15 + -2x + xF + 11x2 + -2x3 = 0 + 2x + -2x + -11x2 + 11x2 + 2x3 + -2x3 -15 + -2x + xF + 11x2 + -2x3 = 2x + -2x + -11x2 + 11x2 + 2x3 + -2x3 Combine like terms: 2x + -2x = 0 -15 + -2x + xF + 11x2 + -2x3 = 0 + -11x2 + 11x2 + 2x3 + -2x3 -15 + -2x + xF + 11x2 + -2x3 = -11x2 + 11x2 + 2x3 + -2x3 Combine like terms: -11x2 + 11x2 = 0 -15 + -2x + xF + 11x2 + -2x3 = 0 + 2x3 + -2x3 -15 + -2x + xF + 11x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -15 + -2x + xF + 11x2 + -2x3 = 0 The solution to this equation could not be determined.
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