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Simplifying 5t4 + -405 = 0 Reorder the terms: -405 + 5t4 = 0 Solving -405 + 5t4 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '405' to each side of the equation. -405 + 405 + 5t4 = 0 + 405 Combine like terms: -405 + 405 = 0 0 + 5t4 = 0 + 405 5t4 = 0 + 405 Combine like terms: 0 + 405 = 405 5t4 = 405 Divide each side by '5'. t4 = 81 Simplifying t4 = 81 Reorder the terms: -81 + t4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + t4 = 0 Factor a difference between two squares. (9 + t2)(-9 + t2) = 0 Factor a difference between two squares. (9 + t2)((3 + t)(-3 + t)) = 0Subproblem 1
Set the factor '(9 + t2)' equal to zero and attempt to solve: Simplifying 9 + t2 = 0 Solving 9 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t2 = 0 + -9 t2 = 0 + -9 Combine like terms: 0 + -9 = -9 t2 = -9 Simplifying t2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 Simplifying t = -3Subproblem 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 Simplifying t = 3Solution
t = {-3, 3}
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