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Simplifying 36t4 + -24t2 + -5 = 0 Reorder the terms: -5 + -24t2 + 36t4 = 0 Solving -5 + -24t2 + 36t4 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -6t2)(5 + -6t2) = 0Subproblem 1
Set the factor '(-1 + -6t2)' equal to zero and attempt to solve: Simplifying -1 + -6t2 = 0 Solving -1 + -6t2 = 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 + -6t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6t2 = 0 + 1 -6t2 = 0 + 1 Combine like terms: 0 + 1 = 1 -6t2 = 1 Divide each side by '-6'. t2 = -0.1666666667 Simplifying t2 = -0.1666666667 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 + -6t2)' equal to zero and attempt to solve: Simplifying 5 + -6t2 = 0 Solving 5 + -6t2 = 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 + -6t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6t2 = 0 + -5 -6t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -6t2 = -5 Divide each side by '-6'. t2 = 0.8333333333 Simplifying t2 = 0.8333333333 Take the square root of each side: t = {-0.912870929, 0.912870929}Solution
t = {-0.912870929, 0.912870929}
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