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Simplifying 5t4 + 21t2 + -20 = 0 Reorder the terms: -20 + 21t2 + 5t4 = 0 Solving -20 + 21t2 + 5t4 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -1t2)(4 + -5t2) = 0Subproblem 1
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 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + -5t2)' equal to zero and attempt to solve: Simplifying 4 + -5t2 = 0 Solving 4 + -5t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5t2 = 0 + -4 -5t2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5t2 = -4 Divide each side by '-5'. t2 = 0.8 Simplifying t2 = 0.8 Take the square root of each side: t = {-0.894427191, 0.894427191}Solution
t = {-0.894427191, 0.894427191}
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