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Simplifying 12t = 100t2 Solving 12t = 100t2 Solving for variable 't'. Combine like terms: 100t2 + -100t2 = 0 12t + -100t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(3 + -25t) = 0 Ignore the factor 4.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 '(3 + -25t)' equal to zero and attempt to solve: Simplifying 3 + -25t = 0 Solving 3 + -25t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -25t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -25t = 0 + -3 -25t = 0 + -3 Combine like terms: 0 + -3 = -3 -25t = -3 Divide each side by '-25'. t = 0.12 Simplifying t = 0.12Solution
t = {0, 0.12}
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