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Simplifying 5[4a + -2a(3a + 3b) + 6a2] = 0 5[4a + (3a * -2a + 3b * -2a) + 6a2] = 0 Reorder the terms: 5[4a + (-6ab + -6a2) + 6a2] = 0 5[4a + (-6ab + -6a2) + 6a2] = 0 Combine like terms: -6a2 + 6a2 = 0 5[4a + -6ab + 0] = 0 5[4a + -6ab] = 0 [4a * 5 + -6ab * 5] = 0 [20a + -30ab] = 0 Solving 20a + -30ab = 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), '10a'. 10a(2 + -3b) = 0 Ignore the factor 10.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 '(2 + -3b)' equal to zero and attempt to solve: Simplifying 2 + -3b = 0 Solving 2 + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 0 + -2 -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -3b = -2 Add '3b' to each side of the equation. -3b + 3b = -2 + 3b Combine like terms: -3b + 3b = 0 0 = -2 + 3b Simplifying 0 = -2 + 3b 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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