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Simplifying 25a2 + -60ad + 36d2 = 0 Reorder the terms: -60ad + 25a2 + 36d2 = 0 Solving -60ad + 25a2 + 36d2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -6d)(5a + -6d) = 0Subproblem 1
Set the factor '(5a + -6d)' equal to zero and attempt to solve: Simplifying 5a + -6d = 0 Solving 5a + -6d = 0 Move all terms containing a to the left, all other terms to the right. Add '6d' to each side of the equation. 5a + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 5a + 0 = 0 + 6d 5a = 0 + 6d Remove the zero: 5a = 6d Divide each side by '5'. a = 1.2d Simplifying a = 1.2dSubproblem 2
Set the factor '(5a + -6d)' equal to zero and attempt to solve: Simplifying 5a + -6d = 0 Solving 5a + -6d = 0 Move all terms containing a to the left, all other terms to the right. Add '6d' to each side of the equation. 5a + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 5a + 0 = 0 + 6d 5a = 0 + 6d Remove the zero: 5a = 6d Divide each side by '5'. a = 1.2d Simplifying a = 1.2dSolution
a = {1.2d, 1.2d}
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