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Simplifying 15t2 + -9t = 3t Reorder the terms: -9t + 15t2 = 3t Solving -9t + 15t2 = 3t Solving for variable 't'. Reorder the terms: -9t + -3t + 15t2 = 3t + -3t Combine like terms: -9t + -3t = -12t -12t + 15t2 = 3t + -3t Combine like terms: 3t + -3t = 0 -12t + 15t2 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(-4 + 5t) = 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 '(-4 + 5t)' equal to zero and attempt to solve: Simplifying -4 + 5t = 0 Solving -4 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5t = 0 + 4 5t = 0 + 4 Combine like terms: 0 + 4 = 4 5t = 4 Divide each side by '5'. t = 0.8 Simplifying t = 0.8Solution
t = {0, 0.8}
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