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Simplifying (4ab + 6a + 1) + -1(2ab + -7) = 0 Reorder the terms: (1 + 6a + 4ab) + -1(2ab + -7) = 0 Remove parenthesis around (1 + 6a + 4ab) 1 + 6a + 4ab + -1(2ab + -7) = 0 Reorder the terms: 1 + 6a + 4ab + -1(-7 + 2ab) = 0 1 + 6a + 4ab + (-7 * -1 + 2ab * -1) = 0 1 + 6a + 4ab + (7 + -2ab) = 0 Reorder the terms: 1 + 7 + 6a + 4ab + -2ab = 0 Combine like terms: 1 + 7 = 8 8 + 6a + 4ab + -2ab = 0 Combine like terms: 4ab + -2ab = 2ab 8 + 6a + 2ab = 0 Solving 8 + 6a + 2ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6a + -8 + 2ab = 0 + -8 Reorder the terms: 8 + -8 + 6a + 2ab = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6a + 2ab = 0 + -8 6a + 2ab = 0 + -8 Combine like terms: 0 + -8 = -8 6a + 2ab = -8 Reorder the terms: 8 + 6a + 2ab = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 6a + 2ab = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 3a + ab) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3a + ab)' equal to zero and attempt to solve: Simplifying 4 + 3a + ab = 0 Solving 4 + 3a + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3a + -4 + ab = 0 + -4 Reorder the terms: 4 + -4 + 3a + ab = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a + ab = 0 + -4 3a + ab = 0 + -4 Combine like terms: 0 + -4 = -4 3a + ab = -4 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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