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