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Simplifying 2a2b3 + 2a3b2 + -6a2b3 + 2a2 = 0 Reorder the terms: 2a2 + 2a2b3 + -6a2b3 + 2a3b2 = 0 Combine like terms: 2a2b3 + -6a2b3 = -4a2b3 2a2 + -4a2b3 + 2a3b2 = 0 Solving 2a2 + -4a2b3 + 2a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a2'. 2a2(1 + -2b3 + ab2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(1 + -2b3 + ab2)' equal to zero and attempt to solve: Simplifying 1 + -2b3 + ab2 = 0 Reorder the terms: 1 + ab2 + -2b3 = 0 Solving 1 + ab2 + -2b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ab2 + -1 + -2b3 = 0 + -1 Reorder the terms: 1 + -1 + ab2 + -2b3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ab2 + -2b3 = 0 + -1 ab2 + -2b3 = 0 + -1 Combine like terms: 0 + -1 = -1 ab2 + -2b3 = -1 Add '2b3' to each side of the equation. ab2 + -2b3 + 2b3 = -1 + 2b3 Combine like terms: -2b3 + 2b3 = 0 ab2 + 0 = -1 + 2b3 ab2 = -1 + 2b3 Divide each side by 'b2'. a = -1b-2 + 2b Simplifying a = -1b-2 + 2bSolution
a = {0, -1b-2 + 2b}
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