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Simplifying 56a2 + 21ab = 0 Reorder the terms: 21ab + 56a2 = 0 Solving 21ab + 56a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(3b + 8a) = 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 '(3b + 8a)' equal to zero and attempt to solve: Simplifying 3b + 8a = 0 Reorder the terms: 8a + 3b = 0 Solving 8a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 8a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 8a + 0 = 0 + -3b 8a = 0 + -3b Remove the zero: 8a = -3b Divide each side by '8'. a = -0.375b Simplifying a = -0.375bSolution
a = {0, -0.375b}
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