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Simplifying 18a2 + 24ad + 8d2 = 0 Reorder the terms: 24ad + 18a2 + 8d2 = 0 Solving 24ad + 18a2 + 8d2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(12ad + 9a2 + 4d2) = 0 Factor a trinomial. 2((3a + 2d)(3a + 2d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3a + 2d)' equal to zero and attempt to solve: Simplifying 3a + 2d = 0 Solving 3a + 2d = 0 Move all terms containing a to the left, all other terms to the right. Add '-2d' to each side of the equation. 3a + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 3a + 0 = 0 + -2d 3a = 0 + -2d Remove the zero: 3a = -2d Divide each side by '3'. a = -0.6666666667d Simplifying a = -0.6666666667dSubproblem 2
Set the factor '(3a + 2d)' equal to zero and attempt to solve: Simplifying 3a + 2d = 0 Solving 3a + 2d = 0 Move all terms containing a to the left, all other terms to the right. Add '-2d' to each side of the equation. 3a + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 3a + 0 = 0 + -2d 3a = 0 + -2d Remove the zero: 3a = -2d Divide each side by '3'. a = -0.6666666667d Simplifying a = -0.6666666667dSolution
a = {-0.6666666667d, -0.6666666667d}
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