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Simplifying F(x) = (3x + 8)(2x + -5) Multiply F * x xF = (3x + 8)(2x + -5) Reorder the terms: xF = (8 + 3x)(2x + -5) Reorder the terms: xF = (8 + 3x)(-5 + 2x) Multiply (8 + 3x) * (-5 + 2x) xF = (8(-5 + 2x) + 3x * (-5 + 2x)) xF = ((-5 * 8 + 2x * 8) + 3x * (-5 + 2x)) xF = ((-40 + 16x) + 3x * (-5 + 2x)) xF = (-40 + 16x + (-5 * 3x + 2x * 3x)) xF = (-40 + 16x + (-15x + 6x2)) Combine like terms: 16x + -15x = 1x xF = (-40 + 1x + 6x2) Solving xF = -40 + 1x + 6x2 Solving for variable 'x'. Reorder the terms: 40 + -1x + xF + -6x2 = -40 + 1x + 6x2 + 40 + -1x + -6x2 Reorder the terms: 40 + -1x + xF + -6x2 = -40 + 40 + 1x + -1x + 6x2 + -6x2 Combine like terms: -40 + 40 = 0 40 + -1x + xF + -6x2 = 0 + 1x + -1x + 6x2 + -6x2 40 + -1x + xF + -6x2 = 1x + -1x + 6x2 + -6x2 Combine like terms: 1x + -1x = 0 40 + -1x + xF + -6x2 = 0 + 6x2 + -6x2 40 + -1x + xF + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 40 + -1x + xF + -6x2 = 0 The solution to this equation could not be determined.
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