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Simplifying 81t4 + 74t2 + -7 = 0 Reorder the terms: -7 + 74t2 + 81t4 = 0 Solving -7 + 74t2 + 81t4 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -1t2)(7 + -81t2) = 0Subproblem 1
Set the factor '(-1 + -1t2)' equal to zero and attempt to solve: Simplifying -1 + -1t2 = 0 Solving -1 + -1t2 = 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 + -1t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1t2 = 0 + 1 -1t2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1t2 = 1 Divide each side by '-1'. t2 = -1 Simplifying t2 = -1 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 '(7 + -81t2)' equal to zero and attempt to solve: Simplifying 7 + -81t2 = 0 Solving 7 + -81t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -81t2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -81t2 = 0 + -7 -81t2 = 0 + -7 Combine like terms: 0 + -7 = -7 -81t2 = -7 Divide each side by '-81'. t2 = 0.08641975309 Simplifying t2 = 0.08641975309 Take the square root of each side: t = {-0.293972368, 0.293972368}Solution
t = {-0.293972368, 0.293972368}
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