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Simplifying 9a2 + -24ad + 16d2 = 0 Reorder the terms: -24ad + 9a2 + 16d2 = 0 Solving -24ad + 9a2 + 16d2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -4d)(3a + -4d) = 0Subproblem 1
Set the factor '(3a + -4d)' equal to zero and attempt to solve: Simplifying 3a + -4d = 0 Solving 3a + -4d = 0 Move all terms containing a to the left, all other terms to the right. Add '4d' to each side of the equation. 3a + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 3a + 0 = 0 + 4d 3a = 0 + 4d Remove the zero: 3a = 4d Divide each side by '3'. a = 1.333333333d Simplifying a = 1.333333333dSubproblem 2
Set the factor '(3a + -4d)' equal to zero and attempt to solve: Simplifying 3a + -4d = 0 Solving 3a + -4d = 0 Move all terms containing a to the left, all other terms to the right. Add '4d' to each side of the equation. 3a + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 3a + 0 = 0 + 4d 3a = 0 + 4d Remove the zero: 3a = 4d Divide each side by '3'. a = 1.333333333d Simplifying a = 1.333333333dSolution
a = {1.333333333d, 1.333333333d}
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