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Simplifying 5t4 + -6t2 + -8 = 0 Reorder the terms: -8 + -6t2 + 5t4 = 0 Solving -8 + -6t2 + 5t4 = 0 Solving for variable 't'. Factor a trinomial. (-4 + -5t2)(2 + -1t2) = 0Subproblem 1
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 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 '(2 + -1t2)' equal to zero and attempt to solve: Simplifying 2 + -1t2 = 0 Solving 2 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t2 = 0 + -2 -1t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1t2 = -2 Divide each side by '-1'. t2 = 2 Simplifying t2 = 2 Take the square root of each side: t = {-1.414213562, 1.414213562}Solution
t = {-1.414213562, 1.414213562}
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