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Simplifying 2a + 15ab + -20a + -21b = 0 Reorder the terms: 2a + -20a + 15ab + -21b = 0 Combine like terms: 2a + -20a = -18a -18a + 15ab + -21b = 0 Solving -18a + 15ab + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. -18a + 15ab + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 -18a + 15ab + 0 = 0 + 21b -18a + 15ab = 0 + 21b Remove the zero: -18a + 15ab = 21b Combine like terms: 21b + -21b = 0 -18a + 15ab + -21b = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6a + 5ab + -7b) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6a + 5ab + -7b)' equal to zero and attempt to solve: Simplifying -6a + 5ab + -7b = 0 Solving -6a + 5ab + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -6a + 5ab + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 -6a + 5ab + 0 = 0 + 7b -6a + 5ab = 0 + 7b Remove the zero: -6a + 5ab = 7b 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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