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Simplifying -18a2 + 12ab + 6a = 0 Reorder the terms: 6a + 12ab + -18a2 = 0 Solving 6a + 12ab + -18a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(1 + 2b + -3a) = 0 Ignore the factor 6.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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