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Simplifying 6a2 + 2ab + -3a = 0 Reorder the terms: -3a + 2ab + 6a2 = 0 Solving -3a + 2ab + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-3 + 2b + 6a) = 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 '(-3 + 2b + 6a)' equal to zero and attempt to solve: Simplifying -3 + 2b + 6a = 0 Reorder the terms: -3 + 6a + 2b = 0 Solving -3 + 6a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6a + 3 + 2b = 0 + 3 Reorder the terms: -3 + 3 + 6a + 2b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6a + 2b = 0 + 3 6a + 2b = 0 + 3 Combine like terms: 0 + 3 = 3 6a + 2b = 3 Add '-2b' to each side of the equation. 6a + 2b + -2b = 3 + -2b Combine like terms: 2b + -2b = 0 6a + 0 = 3 + -2b 6a = 3 + -2b Divide each side by '6'. a = 0.5 + -0.3333333333b Simplifying a = 0.5 + -0.3333333333bSolution
a = {0, 0.5 + -0.3333333333b}
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