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Simplifying a2b + -4abc + 4bc2 = 0 Reorder the terms: -4abc + a2b + 4bc2 = 0 Solving -4abc + a2b + 4bc2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(-4ac + a2 + 4c2) = 0 Factor a trinomial. b((a + -2c)(a + -2c)) = 0Subproblem 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 + -2c)' equal to zero and attempt to solve: Simplifying a + -2c = 0 Solving a + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '2c' to each side of the equation. a + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 a + 0 = 0 + 2c a = 0 + 2c Remove the zero: a = 2c Simplifying a = 2cSubproblem 3
Set the factor '(a + -2c)' equal to zero and attempt to solve: Simplifying a + -2c = 0 Solving a + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '2c' to each side of the equation. a + -2c + 2c = 0 + 2c Combine like terms: -2c + 2c = 0 a + 0 = 0 + 2c a = 0 + 2c Remove the zero: a = 2c Simplifying a = 2cSolution
a = {2c, 2c}
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