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Simplifying 9t2 + -15t = 3t Reorder the terms: -15t + 9t2 = 3t Solving -15t + 9t2 = 3t Solving for variable 't'. Reorder the terms: -15t + -3t + 9t2 = 3t + -3t Combine like terms: -15t + -3t = -18t -18t + 9t2 = 3t + -3t Combine like terms: 3t + -3t = 0 -18t + 9t2 = 0 Factor out the Greatest Common Factor (GCF), '9t'. 9t(-2 + t) = 0 Ignore the factor 9.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 '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Simplifying t = 2Solution
t = {0, 2}
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