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Simplifying 15t4 + 22t2 + -5 = 0 Reorder the terms: -5 + 22t2 + 15t4 = 0 Solving -5 + 22t2 + 15t4 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -3t2)(1 + -5t2) = 0Subproblem 1
Set the factor '(-5 + -3t2)' equal to zero and attempt to solve: Simplifying -5 + -3t2 = 0 Solving -5 + -3t2 = 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 + -3t2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3t2 = 0 + 5 -3t2 = 0 + 5 Combine like terms: 0 + 5 = 5 -3t2 = 5 Divide each side by '-3'. t2 = -1.666666667 Simplifying t2 = -1.666666667 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 + -5t2)' equal to zero and attempt to solve: Simplifying 1 + -5t2 = 0 Solving 1 + -5t2 = 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 + -5t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5t2 = 0 + -1 -5t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5t2 = -1 Divide each side by '-5'. t2 = 0.2 Simplifying t2 = 0.2 Take the square root of each side: t = {-0.447213596, 0.447213596}Solution
t = {-0.447213596, 0.447213596}
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