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Simplifying 16a2 + 72ad + 81d2 = 0 Reorder the terms: 72ad + 16a2 + 81d2 = 0 Solving 72ad + 16a2 + 81d2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + 9d)(4a + 9d) = 0Subproblem 1
Set the factor '(4a + 9d)' equal to zero and attempt to solve: Simplifying 4a + 9d = 0 Solving 4a + 9d = 0 Move all terms containing a to the left, all other terms to the right. Add '-9d' to each side of the equation. 4a + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 4a + 0 = 0 + -9d 4a = 0 + -9d Remove the zero: 4a = -9d Divide each side by '4'. a = -2.25d Simplifying a = -2.25dSubproblem 2
Set the factor '(4a + 9d)' equal to zero and attempt to solve: Simplifying 4a + 9d = 0 Solving 4a + 9d = 0 Move all terms containing a to the left, all other terms to the right. Add '-9d' to each side of the equation. 4a + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 4a + 0 = 0 + -9d 4a = 0 + -9d Remove the zero: 4a = -9d Divide each side by '4'. a = -2.25d Simplifying a = -2.25dSolution
a = {-2.25d, -2.25d}
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