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Simplifying 21t2 + -12t = 3t Reorder the terms: -12t + 21t2 = 3t Solving -12t + 21t2 = 3t Solving for variable 't'. Reorder the terms: -12t + -3t + 21t2 = 3t + -3t Combine like terms: -12t + -3t = -15t -15t + 21t2 = 3t + -3t Combine like terms: 3t + -3t = 0 -15t + 21t2 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(-5 + 7t) = 0 Ignore the factor 3.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 '(-5 + 7t)' equal to zero and attempt to solve: Simplifying -5 + 7t = 0 Solving -5 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7t = 0 + 5 7t = 0 + 5 Combine like terms: 0 + 5 = 5 7t = 5 Divide each side by '7'. t = 0.7142857143 Simplifying t = 0.7142857143Solution
t = {0, 0.7142857143}
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