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Simplifying 8t4 + 2t2 + -3 = 0 Reorder the terms: -3 + 2t2 + 8t4 = 0 Solving -3 + 2t2 + 8t4 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -4t2)(1 + -2t2) = 0Subproblem 1
Set the factor '(-3 + -4t2)' equal to zero and attempt to solve: Simplifying -3 + -4t2 = 0 Solving -3 + -4t2 = 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 + -4t2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4t2 = 0 + 3 -4t2 = 0 + 3 Combine like terms: 0 + 3 = 3 -4t2 = 3 Divide each side by '-4'. t2 = -0.75 Simplifying t2 = -0.75 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 '(1 + -2t2)' equal to zero and attempt to solve: Simplifying 1 + -2t2 = 0 Solving 1 + -2t2 = 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 + -2t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2t2 = 0 + -1 -2t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2t2 = -1 Divide each side by '-2'. t2 = 0.5 Simplifying t2 = 0.5 Take the square root of each side: t = {-0.707106781, 0.707106781}Solution
t = {-0.707106781, 0.707106781}
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