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Simplifying t = -16t2 + 29t + 0 Reorder the terms: t = 0 + 29t + -16t2 Remove the zero: t = 29t + -16t2 Solving t = 29t + -16t2 Solving for variable 't'. Combine like terms: t + -29t = -28t -28t + 16t2 = 29t + -16t2 + -29t + 16t2 Reorder the terms: -28t + 16t2 = 29t + -29t + -16t2 + 16t2 Combine like terms: 29t + -29t = 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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