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Simplifying 36a3b2 + -104a2b2 + -12ab2 = 0 Reorder the terms: -12ab2 + -104a2b2 + 36a3b2 = 0 Solving -12ab2 + -104a2b2 + 36a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab2'. 4ab2(-3 + -26a + 9a2) = 0 Factor a trinomial. 4ab2((-1 + -9a)(3 + -1a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -9a)' equal to zero and attempt to solve: Simplifying -1 + -9a = 0 Solving -1 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9a = 0 + 1 -9a = 0 + 1 Combine like terms: 0 + 1 = 1 -9a = 1 Divide each side by '-9'. a = -0.1111111111 Simplifying a = -0.1111111111Subproblem 3
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-0.1111111111, 3}
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