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Simplifying 4t4 + -20t2 + 5t2 + -25 = 0 Reorder the terms: -25 + -20t2 + 5t2 + 4t4 = 0 Combine like terms: -20t2 + 5t2 = -15t2 -25 + -15t2 + 4t4 = 0 Solving -25 + -15t2 + 4t4 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -4t2)(5 + -1t2) = 0Subproblem 1
Set the factor '(-5 + -4t2)' equal to zero and attempt to solve: Simplifying -5 + -4t2 = 0 Solving -5 + -4t2 = 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 + -4t2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4t2 = 0 + 5 -4t2 = 0 + 5 Combine like terms: 0 + 5 = 5 -4t2 = 5 Divide each side by '-4'. t2 = -1.25 Simplifying t2 = -1.25 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 '(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 = {-2.236067978, 2.236067978}
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