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Simplifying 2t2 + -10t4 = 0 Solving 2t2 + -10t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t2'. 2t2(1 + -5t2) = 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 '(1 + -5t2)' equal to zero and attempt to solve: Simplifying 1 + -5t2 = 0 Solving 1 + -5t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5t2 = 0 + -1 -5t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5t2 = -1 Divide each side by '-5'. t2 = 0.2 Simplifying t2 = 0.2 Take the square root of each side: t = {-0.447213596, 0.447213596}Solution
t = {0, -0.447213596, 0.447213596}
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