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Simplifying 4t4 + 5t2 + -9 = 0 Reorder the terms: -9 + 5t2 + 4t4 = 0 Solving -9 + 5t2 + 4t4 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -4t2)(1 + -1t2) = 0 Factor a difference between two squares. (-9 + -4t2)((1 + t)(1 + -1t)) = 0Subproblem 1
Set the factor '(-9 + -4t2)' equal to zero and attempt to solve: Simplifying -9 + -4t2 = 0 Solving -9 + -4t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4t2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4t2 = 0 + 9 -4t2 = 0 + 9 Combine like terms: 0 + 9 = 9 -4t2 = 9 Divide each side by '-4'. t2 = -2.25 Simplifying t2 = -2.25 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 '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 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 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Subproblem 3
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {-1, 1}
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