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Simplifying 32a2b2 + 16ab2 + 2b2 = 0 Reorder the terms: 16ab2 + 32a2b2 + 2b2 = 0 Solving 16ab2 + 32a2b2 + 2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(8a + 16a2 + 1) = 0 Factor a trinomial. 2b2((4a + 1)(4a + 1)) = 0 Ignore the factor 2.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 '(4a + 1)' equal to zero and attempt to solve: Simplifying 4a + 1 = 0 Reorder the terms: 1 + 4a = 0 Solving 1 + 4a = 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 + 4a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 0 + -1 4a = 0 + -1 Combine like terms: 0 + -1 = -1 4a = -1 Divide each side by '4'. a = -0.25 Simplifying a = -0.25Subproblem 3
Set the factor '(4a + 1)' equal to zero and attempt to solve: Simplifying 4a + 1 = 0 Reorder the terms: 1 + 4a = 0 Solving 1 + 4a = 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 + 4a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 0 + -1 4a = 0 + -1 Combine like terms: 0 + -1 = -1 4a = -1 Divide each side by '4'. a = -0.25 Simplifying a = -0.25Solution
a = {-0.25, -0.25}
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