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Simplifying 4at(-2t + -9a) = 0 Reorder the terms: 4at(-9a + -2t) = 0 (-9a * 4at + -2t * 4at) = 0 Reorder the terms: (-8at2 + -36a2t) = 0 (-8at2 + -36a2t) = 0 Solving -8at2 + -36a2t = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-4at'. -4at(2t + 9a) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'at' equal to zero and attempt to solve: Simplifying at = 0 Solving at = 0 Move all terms containing a to the left, all other terms to the right. Simplifying at = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2t + 9a)' equal to zero and attempt to solve: Simplifying 2t + 9a = 0 Reorder the terms: 9a + 2t = 0 Solving 9a + 2t = 0 Move all terms containing a to the left, all other terms to the right. Add '-2t' to each side of the equation. 9a + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 9a + 0 = 0 + -2t 9a = 0 + -2t Remove the zero: 9a = -2t Divide each side by '9'. a = -0.2222222222t Simplifying a = -0.2222222222tSolution
a = {-0.2222222222t}
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