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Simplifying F(t) = -4(4t + 5)(t + -3) Multiply F * t tF = -4(4t + 5)(t + -3) Reorder the terms: tF = -4(5 + 4t)(t + -3) Reorder the terms: tF = -4(5 + 4t)(-3 + t) Multiply (5 + 4t) * (-3 + t) tF = -4(5(-3 + t) + 4t * (-3 + t)) tF = -4((-3 * 5 + t * 5) + 4t * (-3 + t)) tF = -4((-15 + 5t) + 4t * (-3 + t)) tF = -4(-15 + 5t + (-3 * 4t + t * 4t)) tF = -4(-15 + 5t + (-12t + 4t2)) Combine like terms: 5t + -12t = -7t tF = -4(-15 + -7t + 4t2) tF = (-15 * -4 + -7t * -4 + 4t2 * -4) tF = (60 + 28t + -16t2) Solving tF = 60 + 28t + -16t2 Solving for variable 't'. Reorder the terms: -60 + -28t + tF + 16t2 = 60 + 28t + -16t2 + -60 + -28t + 16t2 Reorder the terms: -60 + -28t + tF + 16t2 = 60 + -60 + 28t + -28t + -16t2 + 16t2 Combine like terms: 60 + -60 = 0 -60 + -28t + tF + 16t2 = 0 + 28t + -28t + -16t2 + 16t2 -60 + -28t + tF + 16t2 = 28t + -28t + -16t2 + 16t2 Combine like terms: 28t + -28t = 0 -60 + -28t + tF + 16t2 = 0 + -16t2 + 16t2 -60 + -28t + tF + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -60 + -28t + tF + 16t2 = 0 The solution to this equation could not be determined.
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