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Simplifying 4ab2 + 6ab + -2a + -3ab = 0 Reorder the terms: -2a + 6ab + -3ab + 4ab2 = 0 Combine like terms: 6ab + -3ab = 3ab -2a + 3ab + 4ab2 = 0 Solving -2a + 3ab + 4ab2 = 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), 'a'. a(-2 + 3b + 4b2) = 0Subproblem 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 + 4b2)' equal to zero and attempt to solve: Simplifying -2 + 3b + 4b2 = 0 Solving -2 + 3b + 4b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3b + 2 + 4b2 = 0 + 2 Reorder the terms: -2 + 2 + 3b + 4b2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3b + 4b2 = 0 + 2 3b + 4b2 = 0 + 2 Combine like terms: 0 + 2 = 2 3b + 4b2 = 2 Add '-3b' to each side of the equation. 3b + -3b + 4b2 = 2 + -3b Combine like terms: 3b + -3b = 0 0 + 4b2 = 2 + -3b 4b2 = 2 + -3b Add '-4b2' to each side of the equation. 4b2 + -4b2 = 2 + -3b + -4b2 Combine like terms: 4b2 + -4b2 = 0 0 = 2 + -3b + -4b2 Simplifying 0 = 2 + -3b + -4b2 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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