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Simplifying 49t3 = 9t Solving 49t3 = 9t Solving for variable 't'. Reorder the terms: -9t + 49t3 = 9t + -9t Combine like terms: 9t + -9t = 0 -9t + 49t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-9 + 49t2) = 0 Factor a difference between two squares. t((3 + 7t)(-3 + 7t)) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(3 + 7t)' equal to zero and attempt to solve: Simplifying 3 + 7t = 0 Solving 3 + 7t = 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 + 7t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7t = 0 + -3 7t = 0 + -3 Combine like terms: 0 + -3 = -3 7t = -3 Divide each side by '7'. t = -0.4285714286 Simplifying t = -0.4285714286Subproblem 3
Set the factor '(-3 + 7t)' equal to zero and attempt to solve: Simplifying -3 + 7t = 0 Solving -3 + 7t = 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 + 7t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7t = 0 + 3 7t = 0 + 3 Combine like terms: 0 + 3 = 3 7t = 3 Divide each side by '7'. t = 0.4285714286 Simplifying t = 0.4285714286Solution
t = {0, -0.4285714286, 0.4285714286}
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