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Simplifying 30a2 + 40a2b = 0 Solving 30a2 + 40a2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '10a2'. 10a2(3 + 4b) = 0 Ignore the factor 10.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 '(3 + 4b)' equal to zero and attempt to solve: Simplifying 3 + 4b = 0 Solving 3 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4b = 0 + -3 4b = 0 + -3 Combine like terms: 0 + -3 = -3 4b = -3 Add '-4b' to each side of the equation. 4b + -4b = -3 + -4b Combine like terms: 4b + -4b = 0 0 = -3 + -4b Simplifying 0 = -3 + -4b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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