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Simplifying 36a2 + -36ab + -16ab2 = 0 Reorder the terms: -36ab + -16ab2 + 36a2 = 0 Solving -36ab + -16ab2 + 36a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(-9b + -4b2 + 9a) = 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 '(-9b + -4b2 + 9a)' equal to zero and attempt to solve: Simplifying -9b + -4b2 + 9a = 0 Reorder the terms: 9a + -9b + -4b2 = 0 Solving 9a + -9b + -4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 9a + -9b + 9b + -4b2 = 0 + 9b Combine like terms: -9b + 9b = 0 9a + 0 + -4b2 = 0 + 9b 9a + -4b2 = 0 + 9b Remove the zero: 9a + -4b2 = 9b Add '4b2' to each side of the equation. 9a + -4b2 + 4b2 = 9b + 4b2 Combine like terms: -4b2 + 4b2 = 0 9a + 0 = 9b + 4b2 9a = 9b + 4b2 Divide each side by '9'. a = b + 0.4444444444b2 Simplifying a = b + 0.4444444444b2Solution
a = {0, b + 0.4444444444b2}
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