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Simplifying 4t2 = -17t Solving 4t2 = -17t Solving for variable 't'. Reorder the terms: 17t + 4t2 = -17t + 17t Combine like terms: -17t + 17t = 0 17t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(17 + 4t) = 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 + 4t)' equal to zero and attempt to solve: Simplifying 17 + 4t = 0 Solving 17 + 4t = 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 + 4t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4t = 0 + -17 4t = 0 + -17 Combine like terms: 0 + -17 = -17 4t = -17 Divide each side by '4'. t = -4.25 Simplifying t = -4.25Solution
t = {0, -4.25}
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