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Simplifying 0 = 16t2 + 28t Reorder the terms: 0 = 28t + 16t2 Solving 0 = 28t + 16t2 Solving for variable 't'. Remove the zero: -28t + -16t2 = 28t + 16t2 + -28t + -16t2 Reorder the terms: -28t + -16t2 = 28t + -28t + 16t2 + -16t2 Combine like terms: 28t + -28t = 0 -28t + -16t2 = 0 + 16t2 + -16t2 -28t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -28t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-4t'. -4t(7 + 4t) = 0 Ignore the factor -4.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(7 + 4t)' equal to zero and attempt to solve: Simplifying 7 + 4t = 0 Solving 7 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4t = 0 + -7 4t = 0 + -7 Combine like terms: 0 + -7 = -7 4t = -7 Divide each side by '4'. t = -1.75 Simplifying t = -1.75Solution
t = {0, -1.75}
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