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Simplifying 4a2 + 28at + 49t2 = 0 Reorder the terms: 28at + 4a2 + 49t2 = 0 Solving 28at + 4a2 + 49t2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 7t)(2a + 7t) = 0Subproblem 1
Set the factor '(2a + 7t)' equal to zero and attempt to solve: Simplifying 2a + 7t = 0 Solving 2a + 7t = 0 Move all terms containing a to the left, all other terms to the right. Add '-7t' to each side of the equation. 2a + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 2a + 0 = 0 + -7t 2a = 0 + -7t Remove the zero: 2a = -7t Divide each side by '2'. a = -3.5t Simplifying a = -3.5tSubproblem 2
Set the factor '(2a + 7t)' equal to zero and attempt to solve: Simplifying 2a + 7t = 0 Solving 2a + 7t = 0 Move all terms containing a to the left, all other terms to the right. Add '-7t' to each side of the equation. 2a + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 2a + 0 = 0 + -7t 2a = 0 + -7t Remove the zero: 2a = -7t Divide each side by '2'. a = -3.5t Simplifying a = -3.5tSolution
a = {-3.5t, -3.5t}
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