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Simplifying 9t2 + -3t4 = 0 Solving 9t2 + -3t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t2'. 3t2(3 + -1t2) = 0 Ignore the factor 3.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 '(3 + -1t2)' equal to zero and attempt to solve: Simplifying 3 + -1t2 = 0 Solving 3 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t2 = 0 + -3 -1t2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1t2 = -3 Divide each side by '-1'. t2 = 3 Simplifying t2 = 3 Take the square root of each side: t = {-1.732050808, 1.732050808}Solution
t = {0, -1.732050808, 1.732050808}
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