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Simplifying 4t4 + 16t2 + 16 = 0 Reorder the terms: 16 + 16t2 + 4t4 = 0 Solving 16 + 16t2 + 4t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 4t2 + t4) = 0 Factor a trinomial. 4((2 + t2)(2 + t2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + t2)' equal to zero and attempt to solve: Simplifying 2 + t2 = 0 Solving 2 + t2 = 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 + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t2 = 0 + -2 t2 = 0 + -2 Combine like terms: 0 + -2 = -2 t2 = -2 Simplifying t2 = -2 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 + t2)' equal to zero and attempt to solve: Simplifying 2 + t2 = 0 Solving 2 + t2 = 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 + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t2 = 0 + -2 t2 = 0 + -2 Combine like terms: 0 + -2 = -2 t2 = -2 Simplifying t2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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