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Simplifying 4t3 + -5t + -21t = 0 Reorder the terms: -5t + -21t + 4t3 = 0 Combine like terms: -5t + -21t = -26t -26t + 4t3 = 0 Solving -26t + 4t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(-13 + 2t2) = 0 Ignore the factor 2.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 '(-13 + 2t2)' equal to zero and attempt to solve: Simplifying -13 + 2t2 = 0 Solving -13 + 2t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2t2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2t2 = 0 + 13 2t2 = 0 + 13 Combine like terms: 0 + 13 = 13 2t2 = 13 Divide each side by '2'. t2 = 6.5 Simplifying t2 = 6.5 Take the square root of each side: t = {-2.549509757, 2.549509757}Solution
t = {0, -2.549509757, 2.549509757}
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