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Simplifying 2a2b2 + 4ab2c2 + 2b2c4 = 0 Reorder the terms: 4ab2c2 + 2a2b2 + 2b2c4 = 0 Solving 4ab2c2 + 2a2b2 + 2b2c4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(2ac2 + a2 + c4) = 0 Factor a trinomial. 2b2((a + c2)(a + c2)) = 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 '(a + c2)' equal to zero and attempt to solve: Simplifying a + c2 = 0 Solving a + c2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c2' to each side of the equation. a + c2 + -1c2 = 0 + -1c2 Combine like terms: c2 + -1c2 = 0 a + 0 = 0 + -1c2 a = 0 + -1c2 Remove the zero: a = -1c2 Simplifying a = -1c2Subproblem 3
Set the factor '(a + c2)' equal to zero and attempt to solve: Simplifying a + c2 = 0 Solving a + c2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c2' to each side of the equation. a + c2 + -1c2 = 0 + -1c2 Combine like terms: c2 + -1c2 = 0 a + 0 = 0 + -1c2 a = 0 + -1c2 Remove the zero: a = -1c2 Simplifying a = -1c2Solution
a = {-1c2, -1c2}
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