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Simplifying 20a2 + 17at + -63t2 = 0 Reorder the terms: 17at + 20a2 + -63t2 = 0 Solving 17at + 20a2 + -63t2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -7t)(4a + 9t) = 0Subproblem 1
Set the factor '(5a + -7t)' equal to zero and attempt to solve: Simplifying 5a + -7t = 0 Solving 5a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. 5a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 5a + 0 = 0 + 7t 5a = 0 + 7t Remove the zero: 5a = 7t Divide each side by '5'. a = 1.4t Simplifying a = 1.4tSubproblem 2
Set the factor '(4a + 9t)' equal to zero and attempt to solve: Simplifying 4a + 9t = 0 Solving 4a + 9t = 0 Move all terms containing a to the left, all other terms to the right. Add '-9t' to each side of the equation. 4a + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 4a + 0 = 0 + -9t 4a = 0 + -9t Remove the zero: 4a = -9t Divide each side by '4'. a = -2.25t Simplifying a = -2.25tSolution
a = {1.4t, -2.25t}
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