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Simplifying 25a2 + 80at + 64t2 = 0 Reorder the terms: 80at + 25a2 + 64t2 = 0 Solving 80at + 25a2 + 64t2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + 8t)(5a + 8t) = 0Subproblem 1
Set the factor '(5a + 8t)' equal to zero and attempt to solve: Simplifying 5a + 8t = 0 Solving 5a + 8t = 0 Move all terms containing a to the left, all other terms to the right. Add '-8t' to each side of the equation. 5a + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 5a + 0 = 0 + -8t 5a = 0 + -8t Remove the zero: 5a = -8t Divide each side by '5'. a = -1.6t Simplifying a = -1.6tSubproblem 2
Set the factor '(5a + 8t)' equal to zero and attempt to solve: Simplifying 5a + 8t = 0 Solving 5a + 8t = 0 Move all terms containing a to the left, all other terms to the right. Add '-8t' to each side of the equation. 5a + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 5a + 0 = 0 + -8t 5a = 0 + -8t Remove the zero: 5a = -8t Divide each side by '5'. a = -1.6t Simplifying a = -1.6tSolution
a = {-1.6t, -1.6t}
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