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Simplifying 6a2 + -2a + 4ab = 0 Reorder the terms: -2a + 4ab + 6a2 = 0 Solving -2a + 4ab + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-1 + 2b + 3a) = 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 '(-1 + 2b + 3a)' equal to zero and attempt to solve: Simplifying -1 + 2b + 3a = 0 Reorder the terms: -1 + 3a + 2b = 0 Solving -1 + 3a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3a + 1 + 2b = 0 + 1 Reorder the terms: -1 + 1 + 3a + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3a + 2b = 0 + 1 3a + 2b = 0 + 1 Combine like terms: 0 + 1 = 1 3a + 2b = 1 Add '-2b' to each side of the equation. 3a + 2b + -2b = 1 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 1 + -2b 3a = 1 + -2b Divide each side by '3'. a = 0.3333333333 + -0.6666666667b Simplifying a = 0.3333333333 + -0.6666666667bSolution
a = {0, 0.3333333333 + -0.6666666667b}
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