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Simplifying (3t)(3t) + -1t = 0 Remove parenthesis around (3t) 3t(3t) + -1t = 0 Remove parenthesis around (3t) 3t * 3t + -1t = 0 Reorder the terms for easier multiplication: 3 * 3t * t + -1t = 0 Multiply 3 * 3 9t * t + -1t = 0 Multiply t * t 9t2 + -1t = 0 Reorder the terms: -1t + 9t2 = 0 Solving -1t + 9t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-1 + 9t) = 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 '(-1 + 9t)' equal to zero and attempt to solve: Simplifying -1 + 9t = 0 Solving -1 + 9t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9t = 0 + 1 9t = 0 + 1 Combine like terms: 0 + 1 = 1 9t = 1 Divide each side by '9'. t = 0.1111111111 Simplifying t = 0.1111111111Solution
t = {0, 0.1111111111}
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