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Simplifying 5ab + 10a = 15a + 5b Reorder the terms: 10a + 5ab = 15a + 5b Solving 10a + 5ab = 15a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 10a + -15a + 5ab = 15a + -15a + 5b Combine like terms: 10a + -15a = -5a -5a + 5ab = 15a + -15a + 5b Combine like terms: 15a + -15a = 0 -5a + 5ab = 0 + 5b -5a + 5ab = 5b Combine like terms: 5b + -5b = 0 -5a + 5ab + -5b = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1a + ab + -1b) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1a + ab + -1b)' equal to zero and attempt to solve: Simplifying -1a + ab + -1b = 0 Solving -1a + ab + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -1a + ab + -1b + b = 0 + b Combine like terms: -1b + b = 0 -1a + ab + 0 = 0 + b -1a + ab = 0 + b Remove the zero: -1a + ab = b 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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