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Simplifying F(x) = (5x + 1)(3x + -8) Multiply F * x xF = (5x + 1)(3x + -8) Reorder the terms: xF = (1 + 5x)(3x + -8) Reorder the terms: xF = (1 + 5x)(-8 + 3x) Multiply (1 + 5x) * (-8 + 3x) xF = (1(-8 + 3x) + 5x * (-8 + 3x)) xF = ((-8 * 1 + 3x * 1) + 5x * (-8 + 3x)) xF = ((-8 + 3x) + 5x * (-8 + 3x)) xF = (-8 + 3x + (-8 * 5x + 3x * 5x)) xF = (-8 + 3x + (-40x + 15x2)) Combine like terms: 3x + -40x = -37x xF = (-8 + -37x + 15x2) Solving xF = -8 + -37x + 15x2 Solving for variable 'x'. Reorder the terms: 8 + 37x + xF + -15x2 = -8 + -37x + 15x2 + 8 + 37x + -15x2 Reorder the terms: 8 + 37x + xF + -15x2 = -8 + 8 + -37x + 37x + 15x2 + -15x2 Combine like terms: -8 + 8 = 0 8 + 37x + xF + -15x2 = 0 + -37x + 37x + 15x2 + -15x2 8 + 37x + xF + -15x2 = -37x + 37x + 15x2 + -15x2 Combine like terms: -37x + 37x = 0 8 + 37x + xF + -15x2 = 0 + 15x2 + -15x2 8 + 37x + xF + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 8 + 37x + xF + -15x2 = 0 The solution to this equation could not be determined.
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