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Simplifying 3a + 2b + 7a = 12ab Reorder the terms: 3a + 7a + 2b = 12ab Combine like terms: 3a + 7a = 10a 10a + 2b = 12ab Solving 10a + 2b = 12ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12ab' to each side of the equation. 10a + -12ab + 2b = 12ab + -12ab Combine like terms: 12ab + -12ab = 0 10a + -12ab + 2b = 0 Add '-2b' to each side of the equation. 10a + -12ab + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 10a + -12ab + 0 = 0 + -2b 10a + -12ab = 0 + -2b Remove the zero: 10a + -12ab = -2b Combine like terms: -2b + 2b = 0 10a + -12ab + 2b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5a + -6ab + b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5a + -6ab + b)' equal to zero and attempt to solve: Simplifying 5a + -6ab + b = 0 Solving 5a + -6ab + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 5a + -6ab + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 5a + -6ab + 0 = 0 + -1b 5a + -6ab = 0 + -1b Remove the zero: 5a + -6ab = -1b 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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