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Simplifying 9a2 + 30at + 25t2 = 0 Reorder the terms: 30at + 9a2 + 25t2 = 0 Solving 30at + 9a2 + 25t2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + 5t)(3a + 5t) = 0Subproblem 1
Set the factor '(3a + 5t)' equal to zero and attempt to solve: Simplifying 3a + 5t = 0 Solving 3a + 5t = 0 Move all terms containing a to the left, all other terms to the right. Add '-5t' to each side of the equation. 3a + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 3a + 0 = 0 + -5t 3a = 0 + -5t Remove the zero: 3a = -5t Divide each side by '3'. a = -1.666666667t Simplifying a = -1.666666667tSubproblem 2
Set the factor '(3a + 5t)' equal to zero and attempt to solve: Simplifying 3a + 5t = 0 Solving 3a + 5t = 0 Move all terms containing a to the left, all other terms to the right. Add '-5t' to each side of the equation. 3a + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 3a + 0 = 0 + -5t 3a = 0 + -5t Remove the zero: 3a = -5t Divide each side by '3'. a = -1.666666667t Simplifying a = -1.666666667tSolution
a = {-1.666666667t, -1.666666667t}
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