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Simplifying 20a2 + -41ad + 20d2 = 0 Reorder the terms: -41ad + 20a2 + 20d2 = 0 Solving -41ad + 20a2 + 20d2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + -5d)(5a + -4d) = 0Subproblem 1
Set the factor '(4a + -5d)' equal to zero and attempt to solve: Simplifying 4a + -5d = 0 Solving 4a + -5d = 0 Move all terms containing a to the left, all other terms to the right. Add '5d' to each side of the equation. 4a + -5d + 5d = 0 + 5d Combine like terms: -5d + 5d = 0 4a + 0 = 0 + 5d 4a = 0 + 5d Remove the zero: 4a = 5d Divide each side by '4'. a = 1.25d Simplifying a = 1.25dSubproblem 2
Set the factor '(5a + -4d)' equal to zero and attempt to solve: Simplifying 5a + -4d = 0 Solving 5a + -4d = 0 Move all terms containing a to the left, all other terms to the right. Add '4d' to each side of the equation. 5a + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 5a + 0 = 0 + 4d 5a = 0 + 4d Remove the zero: 5a = 4d Divide each side by '5'. a = 0.8d Simplifying a = 0.8dSolution
a = {1.25d, 0.8d}
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