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Simplifying 9a2 + -3ab + -2ab2 = 0 Reorder the terms: -3ab + -2ab2 + 9a2 = 0 Solving -3ab + -2ab2 + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-3b + -2b2 + 9a) = 0Subproblem 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 + 9a)' equal to zero and attempt to solve: Simplifying -3b + -2b2 + 9a = 0 Reorder the terms: 9a + -3b + -2b2 = 0 Solving 9a + -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. 9a + -3b + 3b + -2b2 = 0 + 3b Combine like terms: -3b + 3b = 0 9a + 0 + -2b2 = 0 + 3b 9a + -2b2 = 0 + 3b Remove the zero: 9a + -2b2 = 3b Add '2b2' to each side of the equation. 9a + -2b2 + 2b2 = 3b + 2b2 Combine like terms: -2b2 + 2b2 = 0 9a + 0 = 3b + 2b2 9a = 3b + 2b2 Divide each side by '9'. a = 0.3333333333b + 0.2222222222b2 Simplifying a = 0.3333333333b + 0.2222222222b2Solution
a = {0, 0.3333333333b + 0.2222222222b2}
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