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Simplifying 0 = -16t2 + 58t Reorder the terms: 0 = 58t + -16t2 Solving 0 = 58t + -16t2 Solving for variable 't'. Remove the zero: -58t + 16t2 = 58t + -16t2 + -58t + 16t2 Reorder the terms: -58t + 16t2 = 58t + -58t + -16t2 + 16t2 Combine like terms: 58t + -58t = 0 -58t + 16t2 = 0 + -16t2 + 16t2 -58t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -58t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-29 + 8t) = 0 Ignore the factor 2.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 '(-29 + 8t)' equal to zero and attempt to solve: Simplifying -29 + 8t = 0 Solving -29 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 8t = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8t = 0 + 29 8t = 0 + 29 Combine like terms: 0 + 29 = 29 8t = 29 Divide each side by '8'. t = 3.625 Simplifying t = 3.625Solution
t = {0, 3.625}
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