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Simplifying F(x) = (8x + 10x + 6)(x + 0.5) Multiply F * x xF = (8x + 10x + 6)(x + 0.5) Reorder the terms: xF = (6 + 8x + 10x)(x + 0.5) Combine like terms: 8x + 10x = 18x xF = (6 + 18x)(x + 0.5) Reorder the terms: xF = (6 + 18x)(0.5 + x) Multiply (6 + 18x) * (0.5 + x) xF = (6(0.5 + x) + 18x * (0.5 + x)) xF = ((0.5 * 6 + x * 6) + 18x * (0.5 + x)) xF = ((3 + 6x) + 18x * (0.5 + x)) xF = (3 + 6x + (0.5 * 18x + x * 18x)) xF = (3 + 6x + (9x + 18x2)) Combine like terms: 6x + 9x = 15x xF = (3 + 15x + 18x2) Solving xF = 3 + 15x + 18x2 Solving for variable 'x'. Reorder the terms: -3 + -15x + xF + -18x2 = 3 + 15x + 18x2 + -3 + -15x + -18x2 Reorder the terms: -3 + -15x + xF + -18x2 = 3 + -3 + 15x + -15x + 18x2 + -18x2 Combine like terms: 3 + -3 = 0 -3 + -15x + xF + -18x2 = 0 + 15x + -15x + 18x2 + -18x2 -3 + -15x + xF + -18x2 = 15x + -15x + 18x2 + -18x2 Combine like terms: 15x + -15x = 0 -3 + -15x + xF + -18x2 = 0 + 18x2 + -18x2 -3 + -15x + xF + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -3 + -15x + xF + -18x2 = 0 The solution to this equation could not be determined.
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