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Simplifying 3t4 + -48 = 0 Reorder the terms: -48 + 3t4 = 0 Solving -48 + 3t4 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 3t4 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 3t4 = 0 + 48 3t4 = 0 + 48 Combine like terms: 0 + 48 = 48 3t4 = 48 Divide each side by '3'. t4 = 16 Simplifying t4 = 16 Reorder the terms: -16 + t4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + t4 = 0 Factor a difference between two squares. (4 + t2)(-4 + t2) = 0 Factor a difference between two squares. (4 + t2)((2 + t)(-2 + t)) = 0Subproblem 1
Set the factor '(4 + t2)' equal to zero and attempt to solve: Simplifying 4 + t2 = 0 Solving 4 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t2 = 0 + -4 t2 = 0 + -4 Combine like terms: 0 + -4 = -4 t2 = -4 Simplifying t2 = -4 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 '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2Subproblem 3
Set the factor '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Simplifying t = 2Solution
t = {-2, 2}
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