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Simplifying 2a2b + -16ab + 32b = 0 Reorder the terms: -16ab + 2a2b + 32b = 0 Solving -16ab + 2a2b + 32b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-8a + a2 + 16) = 0 Factor a trinomial. 2b((a + -4)(a + -4)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 + -4)' equal to zero and attempt to solve: Simplifying a + -4 = 0 Reorder the terms: -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Subproblem 3
Set the factor '(a + -4)' equal to zero and attempt to solve: Simplifying a + -4 = 0 Reorder the terms: -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Solution
a = {4, 4}
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