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Simplifying t4 + -26t2 = 0 Reorder the terms: -26t2 + t4 = 0 Solving -26t2 + t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't2'. t2(-26 + t2) = 0Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(-26 + t2)' equal to zero and attempt to solve: Simplifying -26 + t2 = 0 Solving -26 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + t2 = 0 + 26 Combine like terms: -26 + 26 = 0 0 + t2 = 0 + 26 t2 = 0 + 26 Combine like terms: 0 + 26 = 26 t2 = 26 Simplifying t2 = 26 Take the square root of each side: t = {-5.099019514, 5.099019514}Solution
t = {0, -5.099019514, 5.099019514}
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