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Simplifying 0 = -5t2 + 17t + 0 Reorder the terms: 0 = 0 + 17t + -5t2 Remove the zero: 0 = 17t + -5t2 Solving 0 = 17t + -5t2 Solving for variable 't'. Remove the zero: -17t + 5t2 = 17t + -5t2 + -17t + 5t2 Reorder the terms: -17t + 5t2 = 17t + -17t + -5t2 + 5t2 Combine like terms: 17t + -17t = 0 -17t + 5t2 = 0 + -5t2 + 5t2 -17t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -17t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-17 + 5t) = 0Subproblem 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 '(-17 + 5t)' equal to zero and attempt to solve: Simplifying -17 + 5t = 0 Solving -17 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 5t = 0 + 17 5t = 0 + 17 Combine like terms: 0 + 17 = 17 5t = 17 Divide each side by '5'. t = 3.4 Simplifying t = 3.4Solution
t = {0, 3.4}
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