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Simplifying 9ab + -12a2 + 6ab2 = 0 Reorder the terms: 9ab + 6ab2 + -12a2 = 0 Solving 9ab + 6ab2 + -12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(3b + 2b2 + -4a) = 0 Ignore the factor 3.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 '(3b + 2b2 + -4a)' equal to zero and attempt to solve: Simplifying 3b + 2b2 + -4a = 0 Reorder the terms: -4a + 3b + 2b2 = 0 Solving -4a + 3b + 2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -4a + 3b + -3b + 2b2 = 0 + -3b Combine like terms: 3b + -3b = 0 -4a + 0 + 2b2 = 0 + -3b -4a + 2b2 = 0 + -3b Remove the zero: -4a + 2b2 = -3b Add '-2b2' to each side of the equation. -4a + 2b2 + -2b2 = -3b + -2b2 Combine like terms: 2b2 + -2b2 = 0 -4a + 0 = -3b + -2b2 -4a = -3b + -2b2 Divide each side by '-4'. a = 0.75b + 0.5b2 Simplifying a = 0.75b + 0.5b2Solution
a = {0, 0.75b + 0.5b2}
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