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Simplifying 0 = 4ab + 2a + 6b + 3 Reorder the terms: 0 = 3 + 2a + 4ab + 6b Solving 0 = 3 + 2a + 4ab + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 0 + -2a = 3 + 2a + 4ab + -2a + 6b Remove the zero: -2a = 3 + 2a + 4ab + -2a + 6b Reorder the terms: -2a = 3 + 2a + -2a + 4ab + 6b Combine like terms: 2a + -2a = 0 -2a = 3 + 0 + 4ab + 6b -2a = 3 + 4ab + 6b Add '-4ab' to each side of the equation. -2a + -4ab = 3 + 4ab + -4ab + 6b Combine like terms: 4ab + -4ab = 0 -2a + -4ab = 3 + 0 + 6b -2a + -4ab = 3 + 6b Reorder the terms: -3 + -2a + -4ab + -6b = 3 + 6b + -3 + -6b Reorder the terms: -3 + -2a + -4ab + -6b = 3 + -3 + 6b + -6b Combine like terms: 3 + -3 = 0 -3 + -2a + -4ab + -6b = 0 + 6b + -6b -3 + -2a + -4ab + -6b = 6b + -6b Combine like terms: 6b + -6b = 0 -3 + -2a + -4ab + -6b = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 2a + 4ab + 6b) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 2a + 4ab + 6b)' equal to zero and attempt to solve: Simplifying 3 + 2a + 4ab + 6b = 0 Solving 3 + 2a + 4ab + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2a + 4ab + -3 + 6b = 0 + -3 Reorder the terms: 3 + -3 + 2a + 4ab + 6b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a + 4ab + 6b = 0 + -3 2a + 4ab + 6b = 0 + -3 Combine like terms: 0 + -3 = -3 2a + 4ab + 6b = -3 Add '-6b' to each side of the equation. 2a + 4ab + 6b + -6b = -3 + -6b Combine like terms: 6b + -6b = 0 2a + 4ab + 0 = -3 + -6b 2a + 4ab = -3 + -6b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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