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Simplifying 64a2 + 16at + t2 = 0 Reorder the terms: 16at + 64a2 + t2 = 0 Solving 16at + 64a2 + t2 = 0 Solving for variable 'a'. Factor a trinomial. (8a + t)(8a + t) = 0Subproblem 1
Set the factor '(8a + t)' equal to zero and attempt to solve: Simplifying 8a + t = 0 Solving 8a + t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1t' to each side of the equation. 8a + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 8a + 0 = 0 + -1t 8a = 0 + -1t Remove the zero: 8a = -1t Divide each side by '8'. a = -0.125t Simplifying a = -0.125tSubproblem 2
Set the factor '(8a + t)' equal to zero and attempt to solve: Simplifying 8a + t = 0 Solving 8a + t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1t' to each side of the equation. 8a + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 8a + 0 = 0 + -1t 8a = 0 + -1t Remove the zero: 8a = -1t Divide each side by '8'. a = -0.125t Simplifying a = -0.125tSolution
a = {-0.125t, -0.125t}
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