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Simplifying 63(t) = 36t + -5t2 Solving 63t = 36t + -5t2 Solving for variable 't'. Combine like terms: 63t + -36t = 27t 27t + 5t2 = 36t + -5t2 + -36t + 5t2 Reorder the terms: 27t + 5t2 = 36t + -36t + -5t2 + 5t2 Combine like terms: 36t + -36t = 0 27t + 5t2 = 0 + -5t2 + 5t2 27t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 27t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(27 + 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 '(27 + 5t)' equal to zero and attempt to solve: Simplifying 27 + 5t = 0 Solving 27 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5t = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 5t = 0 + -27 5t = 0 + -27 Combine like terms: 0 + -27 = -27 5t = -27 Divide each side by '5'. t = -5.4 Simplifying t = -5.4Solution
t = {0, -5.4}
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