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Simplifying 3t2 = -26t Solving 3t2 = -26t Solving for variable 't'. Reorder the terms: 26t + 3t2 = -26t + 26t Combine like terms: -26t + 26t = 0 26t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(26 + 3t) = 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 '(26 + 3t)' equal to zero and attempt to solve: Simplifying 26 + 3t = 0 Solving 26 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3t = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3t = 0 + -26 3t = 0 + -26 Combine like terms: 0 + -26 = -26 3t = -26 Divide each side by '3'. t = -8.666666667 Simplifying t = -8.666666667Solution
t = {0, -8.666666667}
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