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Simplifying 0 = 57t + -5t2 Solving 0 = 57t + -5t2 Solving for variable 't'. Remove the zero: -57t + 5t2 = 57t + -5t2 + -57t + 5t2 Reorder the terms: -57t + 5t2 = 57t + -57t + -5t2 + 5t2 Combine like terms: 57t + -57t = 0 -57t + 5t2 = 0 + -5t2 + 5t2 -57t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -57t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-57 + 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 '(-57 + 5t)' equal to zero and attempt to solve: Simplifying -57 + 5t = 0 Solving -57 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 5t = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 5t = 0 + 57 5t = 0 + 57 Combine like terms: 0 + 57 = 57 5t = 57 Divide each side by '5'. t = 11.4 Simplifying t = 11.4Solution
t = {0, 11.4}
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