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Simplifying 6[2a + -2a(3a + 5b) + 6a2] = 0 6[2a + (3a * -2a + 5b * -2a) + 6a2] = 0 Reorder the terms: 6[2a + (-10ab + -6a2) + 6a2] = 0 6[2a + (-10ab + -6a2) + 6a2] = 0 Combine like terms: -6a2 + 6a2 = 0 6[2a + -10ab + 0] = 0 6[2a + -10ab] = 0 [2a * 6 + -10ab * 6] = 0 [12a + -60ab] = 0 Solving 12a + -60ab = 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), '12a'. 12a(1 + -5b) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + -5b)' equal to zero and attempt to solve: Simplifying 1 + -5b = 0 Solving 1 + -5b = 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 + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 0 + -1 -5b = 0 + -1 Combine like terms: 0 + -1 = -1 -5b = -1 Add '5b' to each side of the equation. -5b + 5b = -1 + 5b Combine like terms: -5b + 5b = 0 0 = -1 + 5b Simplifying 0 = -1 + 5b 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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