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Simplifying 10t2 + -2t4 = 0 Solving 10t2 + -2t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t2'. 2t2(5 + -1t2) = 0 Ignore the factor 2.Subproblem 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 '(5 + -1t2)' equal to zero and attempt to solve: Simplifying 5 + -1t2 = 0 Solving 5 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t2 = 0 + -5 -1t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1t2 = -5 Divide each side by '-1'. t2 = 5 Simplifying t2 = 5 Take the square root of each side: t = {-2.236067978, 2.236067978}Solution
t = {0, -2.236067978, 2.236067978}
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