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Simplifying 25a2 + 90ad + 81d2 = 0 Reorder the terms: 90ad + 25a2 + 81d2 = 0 Solving 90ad + 25a2 + 81d2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + 9d)(5a + 9d) = 0Subproblem 1
Set the factor '(5a + 9d)' equal to zero and attempt to solve: Simplifying 5a + 9d = 0 Solving 5a + 9d = 0 Move all terms containing a to the left, all other terms to the right. Add '-9d' to each side of the equation. 5a + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 5a + 0 = 0 + -9d 5a = 0 + -9d Remove the zero: 5a = -9d Divide each side by '5'. a = -1.8d Simplifying a = -1.8dSubproblem 2
Set the factor '(5a + 9d)' equal to zero and attempt to solve: Simplifying 5a + 9d = 0 Solving 5a + 9d = 0 Move all terms containing a to the left, all other terms to the right. Add '-9d' to each side of the equation. 5a + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 5a + 0 = 0 + -9d 5a = 0 + -9d Remove the zero: 5a = -9d Divide each side by '5'. a = -1.8d Simplifying a = -1.8dSolution
a = {-1.8d, -1.8d}
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