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Simplifying 15ad + 30a2s2 = 0 Solving 15ad + 30a2s2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '15a'. 15a(d + 2as2) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(d + 2as2)' equal to zero and attempt to solve: Simplifying d + 2as2 = 0 Reorder the terms: 2as2 + d = 0 Solving 2as2 + d = 0 Move all terms containing a to the left, all other terms to the right. Add '-1d' to each side of the equation. 2as2 + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 2as2 + 0 = 0 + -1d 2as2 = 0 + -1d Remove the zero: 2as2 = -1d Divide each side by '2s2'. a = -0.5ds-2 Simplifying a = -0.5ds-2Solution
a = {0, -0.5ds-2}
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