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Simplifying -9t3 + 26t = 0 Reorder the terms: 26t + -9t3 = 0 Solving 26t + -9t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(26 + -9t2) = 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 + -9t2)' equal to zero and attempt to solve: Simplifying 26 + -9t2 = 0 Solving 26 + -9t2 = 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 + -9t2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -9t2 = 0 + -26 -9t2 = 0 + -26 Combine like terms: 0 + -26 = -26 -9t2 = -26 Divide each side by '-9'. t2 = 2.888888889 Simplifying t2 = 2.888888889 Take the square root of each side: t = {-1.699673171, 1.699673171}Solution
t = {0, -1.699673171, 1.699673171}
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