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Simplifying 7(12 + 5ab + -8a) = 0 Reorder the terms: 7(12 + -8a + 5ab) = 0 (12 * 7 + -8a * 7 + 5ab * 7) = 0 (84 + -56a + 35ab) = 0 Solving 84 + -56a + 35ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -56a + -84 + 35ab = 0 + -84 Reorder the terms: 84 + -84 + -56a + 35ab = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -56a + 35ab = 0 + -84 -56a + 35ab = 0 + -84 Combine like terms: 0 + -84 = -84 -56a + 35ab = -84 Reorder the terms: 84 + -56a + 35ab = -84 + 84 Combine like terms: -84 + 84 = 0 84 + -56a + 35ab = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(12 + -8a + 5ab) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(12 + -8a + 5ab)' equal to zero and attempt to solve: Simplifying 12 + -8a + 5ab = 0 Solving 12 + -8a + 5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8a + -12 + 5ab = 0 + -12 Reorder the terms: 12 + -12 + -8a + 5ab = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8a + 5ab = 0 + -12 -8a + 5ab = 0 + -12 Combine like terms: 0 + -12 = -12 -8a + 5ab = -12 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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