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Simplifying 8t4 + -18t2 = 0 Reorder the terms: -18t2 + 8t4 = 0 Solving -18t2 + 8t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t2'. 2t2(-9 + 4t2) = 0 Factor a difference between two squares. 2t2((3 + 2t)(-3 + 2t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(3 + 2t)' equal to zero and attempt to solve: Simplifying 3 + 2t = 0 Solving 3 + 2t = 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 + 2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2t = 0 + -3 2t = 0 + -3 Combine like terms: 0 + -3 = -3 2t = -3 Divide each side by '2'. t = -1.5 Simplifying t = -1.5Subproblem 3
Set the factor '(-3 + 2t)' equal to zero and attempt to solve: Simplifying -3 + 2t = 0 Solving -3 + 2t = 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 + 2t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2t = 0 + 3 2t = 0 + 3 Combine like terms: 0 + 3 = 3 2t = 3 Divide each side by '2'. t = 1.5 Simplifying t = 1.5Solution
t = {0, -1.5, 1.5}
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