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Simplifying 5t + 60t2 = -180t Solving 5t + 60t2 = -180t Solving for variable 't'. Reorder the terms: 5t + 180t + 60t2 = -180t + 180t Combine like terms: 5t + 180t = 185t 185t + 60t2 = -180t + 180t Combine like terms: -180t + 180t = 0 185t + 60t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(37 + 12t) = 0 Ignore the factor 5.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 '(37 + 12t)' equal to zero and attempt to solve: Simplifying 37 + 12t = 0 Solving 37 + 12t = 0 Move all terms containing t to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 12t = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 12t = 0 + -37 12t = 0 + -37 Combine like terms: 0 + -37 = -37 12t = -37 Divide each side by '12'. t = -3.083333333 Simplifying t = -3.083333333Solution
t = {0, -3.083333333}
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