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Simplifying 12a2 + 4ab + -4ab2 = 0 Reorder the terms: 4ab + -4ab2 + 12a2 = 0 Solving 4ab + -4ab2 + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(b + -1b2 + 3a) = 0 Ignore the factor 4.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 '(b + -1b2 + 3a)' equal to zero and attempt to solve: Simplifying b + -1b2 + 3a = 0 Reorder the terms: 3a + b + -1b2 = 0 Solving 3a + b + -1b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a + b + -1b + -1b2 = 0 + -1b Combine like terms: b + -1b = 0 3a + 0 + -1b2 = 0 + -1b 3a + -1b2 = 0 + -1b Remove the zero: 3a + -1b2 = -1b Add 'b2' to each side of the equation. 3a + -1b2 + b2 = -1b + b2 Combine like terms: -1b2 + b2 = 0 3a + 0 = -1b + b2 3a = -1b + b2 Divide each side by '3'. a = -0.3333333333b + 0.3333333333b2 Simplifying a = -0.3333333333b + 0.3333333333b2Solution
a = {0, -0.3333333333b + 0.3333333333b2}
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