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Simplifying tT2 + -9t = 0 Reorder the terms: -9t + tT2 = 0 Solving -9t + tT2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 't'. t(-9 + T2) = 0 Factor a difference between two squares. t((3 + T)(-3 + T)) = 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 '(3 + T)' equal to zero and attempt to solve: Simplifying 3 + T = 0 Solving 3 + T = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + T = 0 + -3 Combine like terms: 3 + -3 = 0 0 + T = 0 + -3 T = 0 + -3 Combine like terms: 0 + -3 = -3 T = -3 Add '-1T' to each side of the equation. T + -1T = -3 + -1T Combine like terms: T + -1T = 0 0 = -3 + -1T Simplifying 0 = -3 + -1T The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-3 + T)' equal to zero and attempt to solve: Simplifying -3 + T = 0 Solving -3 + T = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + T = 0 + 3 Combine like terms: -3 + 3 = 0 0 + T = 0 + 3 T = 0 + 3 Combine like terms: 0 + 3 = 3 T = 3 Add '-1T' to each side of the equation. T + -1T = 3 + -1T Combine like terms: T + -1T = 0 0 = 3 + -1T Simplifying 0 = 3 + -1T The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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