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Simplifying 3a2b2 + -24ab2 + 36b2 = 0 Reorder the terms: -24ab2 + 3a2b2 + 36b2 = 0 Solving -24ab2 + 3a2b2 + 36b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3b2'. 3b2(-8a + a2 + 12) = 0 Factor a trinomial. 3b2((a + -6)(a + -2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. b2 + -1b2 = 0 + -1b2 Remove the zero: 0 = -1b2 Simplifying 0 = -1b2 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 '(a + -6)' equal to zero and attempt to solve: Simplifying a + -6 = 0 Reorder the terms: -6 + a = 0 Solving -6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a = 0 + 6 a = 0 + 6 Combine like terms: 0 + 6 = 6 a = 6 Simplifying a = 6Subproblem 3
Set the factor '(a + -2)' equal to zero and attempt to solve: Simplifying a + -2 = 0 Reorder the terms: -2 + a = 0 Solving -2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a = 0 + 2 a = 0 + 2 Combine like terms: 0 + 2 = 2 a = 2 Simplifying a = 2Solution
a = {6, 2}
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