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Simplifying 12a + 18b = 30ab Solving 12a + 18b = 30ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30ab' to each side of the equation. 12a + -30ab + 18b = 30ab + -30ab Combine like terms: 30ab + -30ab = 0 12a + -30ab + 18b = 0 Add '-18b' to each side of the equation. 12a + -30ab + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 12a + -30ab + 0 = 0 + -18b 12a + -30ab = 0 + -18b Remove the zero: 12a + -30ab = -18b Combine like terms: -18b + 18b = 0 12a + -30ab + 18b = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2a + -5ab + 3b) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2a + -5ab + 3b)' equal to zero and attempt to solve: Simplifying 2a + -5ab + 3b = 0 Solving 2a + -5ab + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + -5ab + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 2a + -5ab + 0 = 0 + -3b 2a + -5ab = 0 + -3b Remove the zero: 2a + -5ab = -3b 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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