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Simplifying 6a2 + -8ab + 2a = 0 Reorder the terms: 2a + -8ab + 6a2 = 0 Solving 2a + -8ab + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(1 + -4b + 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 + -4b + 3a)' equal to zero and attempt to solve: Simplifying 1 + -4b + 3a = 0 Reorder the terms: 1 + 3a + -4b = 0 Solving 1 + 3a + -4b = 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 + -4b = 0 + -1 Reorder the terms: 1 + -1 + 3a + -4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a + -4b = 0 + -1 3a + -4b = 0 + -1 Combine like terms: 0 + -1 = -1 3a + -4b = -1 Add '4b' to each side of the equation. 3a + -4b + 4b = -1 + 4b Combine like terms: -4b + 4b = 0 3a + 0 = -1 + 4b 3a = -1 + 4b Divide each side by '3'. a = -0.3333333333 + 1.333333333b Simplifying a = -0.3333333333 + 1.333333333bSolution
a = {0, -0.3333333333 + 1.333333333b}
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