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Simplifying 3a + 7a + -6a + 4ab + -10b = 0 Combine like terms: 3a + 7a = 10a 10a + -6a + 4ab + -10b = 0 Combine like terms: 10a + -6a = 4a 4a + 4ab + -10b = 0 Solving 4a + 4ab + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 4a + 4ab + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 4a + 4ab + 0 = 0 + 10b 4a + 4ab = 0 + 10b Remove the zero: 4a + 4ab = 10b Combine like terms: 10b + -10b = 0 4a + 4ab + -10b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2a + 2ab + -5b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2a + 2ab + -5b)' equal to zero and attempt to solve: Simplifying 2a + 2ab + -5b = 0 Solving 2a + 2ab + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 2a + 2ab + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 2a + 2ab + 0 = 0 + 5b 2a + 2ab = 0 + 5b Remove the zero: 2a + 2ab = 5b 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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