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Simplifying 8 = -5t2 + 18t + 8 Reorder the terms: 8 = 8 + 18t + -5t2 Add '-8' to each side of the equation. 8 + -8 = 8 + 18t + -8 + -5t2 Combine like terms: 8 + -8 = 0 0 = 8 + 18t + -8 + -5t2 Reorder the terms: 0 = 8 + -8 + 18t + -5t2 Combine like terms: 8 + -8 = 0 0 = 0 + 18t + -5t2 0 = 18t + -5t2 Solving 0 = 18t + -5t2 Solving for variable 't'. Remove the zero: -18t + 5t2 = 18t + -5t2 + -18t + 5t2 Reorder the terms: -18t + 5t2 = 18t + -18t + -5t2 + 5t2 Combine like terms: 18t + -18t = 0 -18t + 5t2 = 0 + -5t2 + 5t2 -18t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -18t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-18 + 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 '(-18 + 5t)' equal to zero and attempt to solve: Simplifying -18 + 5t = 0 Solving -18 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 5t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 5t = 0 + 18 5t = 0 + 18 Combine like terms: 0 + 18 = 18 5t = 18 Divide each side by '5'. t = 3.6 Simplifying t = 3.6Solution
t = {0, 3.6}
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