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Simplifying 9a2 + 42at + 49t2 = 0 Reorder the terms: 42at + 9a2 + 49t2 = 0 Solving 42at + 9a2 + 49t2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + 7t)(3a + 7t) = 0Subproblem 1
Set the factor '(3a + 7t)' equal to zero and attempt to solve: Simplifying 3a + 7t = 0 Solving 3a + 7t = 0 Move all terms containing a to the left, all other terms to the right. Add '-7t' to each side of the equation. 3a + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 3a + 0 = 0 + -7t 3a = 0 + -7t Remove the zero: 3a = -7t Divide each side by '3'. a = -2.333333333t Simplifying a = -2.333333333tSubproblem 2
Set the factor '(3a + 7t)' equal to zero and attempt to solve: Simplifying 3a + 7t = 0 Solving 3a + 7t = 0 Move all terms containing a to the left, all other terms to the right. Add '-7t' to each side of the equation. 3a + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 3a + 0 = 0 + -7t 3a = 0 + -7t Remove the zero: 3a = -7t Divide each side by '3'. a = -2.333333333t Simplifying a = -2.333333333tSolution
a = {-2.333333333t, -2.333333333t}
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