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Simplifying 4t3 + -12t + -2200t = 0 Reorder the terms: -12t + -2200t + 4t3 = 0 Combine like terms: -12t + -2200t = -2212t -2212t + 4t3 = 0 Solving -2212t + 4t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(-553 + t2) = 0 Ignore the factor 4.Subproblem 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 '(-553 + t2)' equal to zero and attempt to solve: Simplifying -553 + t2 = 0 Solving -553 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '553' to each side of the equation. -553 + 553 + t2 = 0 + 553 Combine like terms: -553 + 553 = 0 0 + t2 = 0 + 553 t2 = 0 + 553 Combine like terms: 0 + 553 = 553 t2 = 553 Simplifying t2 = 553 Take the square root of each side: t = {-23.515952033, 23.515952033}Solution
t = {0, -23.515952033, 23.515952033}
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