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Simplifying 25a2 + 60at + 36t2 = 0 Reorder the terms: 60at + 25a2 + 36t2 = 0 Solving 60at + 25a2 + 36t2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + 6t)(5a + 6t) = 0Subproblem 1
Set the factor '(5a + 6t)' equal to zero and attempt to solve: Simplifying 5a + 6t = 0 Solving 5a + 6t = 0 Move all terms containing a to the left, all other terms to the right. Add '-6t' to each side of the equation. 5a + 6t + -6t = 0 + -6t Combine like terms: 6t + -6t = 0 5a + 0 = 0 + -6t 5a = 0 + -6t Remove the zero: 5a = -6t Divide each side by '5'. a = -1.2t Simplifying a = -1.2tSubproblem 2
Set the factor '(5a + 6t)' equal to zero and attempt to solve: Simplifying 5a + 6t = 0 Solving 5a + 6t = 0 Move all terms containing a to the left, all other terms to the right. Add '-6t' to each side of the equation. 5a + 6t + -6t = 0 + -6t Combine like terms: 6t + -6t = 0 5a + 0 = 0 + -6t 5a = 0 + -6t Remove the zero: 5a = -6t Divide each side by '5'. a = -1.2t Simplifying a = -1.2tSolution
a = {-1.2t, -1.2t}
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