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Simplifying F(x) = -4(x + -3)(x + 5) Multiply F * x xF = -4(x + -3)(x + 5) Reorder the terms: xF = -4(-3 + x)(x + 5) Reorder the terms: xF = -4(-3 + x)(5 + x) Multiply (-3 + x) * (5 + x) xF = -4(-3(5 + x) + x(5 + x)) xF = -4((5 * -3 + x * -3) + x(5 + x)) xF = -4((-15 + -3x) + x(5 + x)) xF = -4(-15 + -3x + (5 * x + x * x)) xF = -4(-15 + -3x + (5x + x2)) Combine like terms: -3x + 5x = 2x xF = -4(-15 + 2x + x2) xF = (-15 * -4 + 2x * -4 + x2 * -4) xF = (60 + -8x + -4x2) Solving xF = 60 + -8x + -4x2 Solving for variable 'x'. Reorder the terms: -60 + 8x + xF + 4x2 = 60 + -8x + -4x2 + -60 + 8x + 4x2 Reorder the terms: -60 + 8x + xF + 4x2 = 60 + -60 + -8x + 8x + -4x2 + 4x2 Combine like terms: 60 + -60 = 0 -60 + 8x + xF + 4x2 = 0 + -8x + 8x + -4x2 + 4x2 -60 + 8x + xF + 4x2 = -8x + 8x + -4x2 + 4x2 Combine like terms: -8x + 8x = 0 -60 + 8x + xF + 4x2 = 0 + -4x2 + 4x2 -60 + 8x + xF + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -60 + 8x + xF + 4x2 = 0 The solution to this equation could not be determined.
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