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Simplifying 3[3a + -4a(2a + 3b) + 8a2] = 0 3[3a + (2a * -4a + 3b * -4a) + 8a2] = 0 Reorder the terms: 3[3a + (-12ab + -8a2) + 8a2] = 0 3[3a + (-12ab + -8a2) + 8a2] = 0 Combine like terms: -8a2 + 8a2 = 0 3[3a + -12ab + 0] = 0 3[3a + -12ab] = 0 [3a * 3 + -12ab * 3] = 0 [9a + -36ab] = 0 Solving 9a + -36ab = 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), '9a'. 9a(1 + -4b) = 0 Ignore the factor 9.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 + -4b)' equal to zero and attempt to solve: Simplifying 1 + -4b = 0 Solving 1 + -4b = 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 + -4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4b = 0 + -1 -4b = 0 + -1 Combine like terms: 0 + -1 = -1 -4b = -1 Add '4b' to each side of the equation. -4b + 4b = -1 + 4b Combine like terms: -4b + 4b = 0 0 = -1 + 4b Simplifying 0 = -1 + 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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