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Simplifying 21a2 + 7ax = 0 Reorder the terms: 7ax + 21a2 = 0 Solving 7ax + 21a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(x + 3a) = 0 Ignore the factor 7.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 '(x + 3a)' equal to zero and attempt to solve: Simplifying x + 3a = 0 Reorder the terms: 3a + x = 0 Solving 3a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 3a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 3a + 0 = 0 + -1x 3a = 0 + -1x Remove the zero: 3a = -1x Divide each side by '3'. a = -0.3333333333x Simplifying a = -0.3333333333xSolution
a = {0, -0.3333333333x}
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