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Simplifying 2a(6a + -1b) = 0 (6a * 2a + -1b * 2a) = 0 Reorder the terms: (-2ab + 12a2) = 0 (-2ab + 12a2) = 0 Solving -2ab + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-1b + 6a) = 0 Ignore the factor 2.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 '(-1b + 6a)' equal to zero and attempt to solve: Simplifying -1b + 6a = 0 Reorder the terms: 6a + -1b = 0 Solving 6a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 6a + -1b + b = 0 + b Combine like terms: -1b + b = 0 6a + 0 = 0 + b 6a = 0 + b Remove the zero: 6a = b Divide each side by '6'. a = 0.1666666667b Simplifying a = 0.1666666667bSolution
a = {0, 0.1666666667b}
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