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Simplifying a(4a + 3b) = 0 (4a * a + 3b * a) = 0 Reorder the terms: (3ab + 4a2) = 0 (3ab + 4a2) = 0 Solving 3ab + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(3b + 4a) = 0Subproblem 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 + 4a)' equal to zero and attempt to solve: Simplifying 3b + 4a = 0 Reorder the terms: 4a + 3b = 0 Solving 4a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 4a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 4a + 0 = 0 + -3b 4a = 0 + -3b Remove the zero: 4a = -3b Divide each side by '4'. a = -0.75b Simplifying a = -0.75bSolution
a = {0, -0.75b}
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