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Simplifying 36a2 + -84at + 49t2 = 0 Reorder the terms: -84at + 36a2 + 49t2 = 0 Solving -84at + 36a2 + 49t2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -7t)(6a + -7t) = 0Subproblem 1
Set the factor '(6a + -7t)' equal to zero and attempt to solve: Simplifying 6a + -7t = 0 Solving 6a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. 6a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 6a + 0 = 0 + 7t 6a = 0 + 7t Remove the zero: 6a = 7t Divide each side by '6'. a = 1.166666667t Simplifying a = 1.166666667tSubproblem 2
Set the factor '(6a + -7t)' equal to zero and attempt to solve: Simplifying 6a + -7t = 0 Solving 6a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. 6a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 6a + 0 = 0 + 7t 6a = 0 + 7t Remove the zero: 6a = 7t Divide each side by '6'. a = 1.166666667t Simplifying a = 1.166666667tSolution
a = {1.166666667t, 1.166666667t}
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