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Simplifying 2ab + 6a + -10b + -30 = 0 Reorder the terms: -30 + 6a + 2ab + -10b = 0 Solving -30 + 6a + 2ab + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 6a + 2ab + 30 + -10b = 0 + 30 Reorder the terms: -30 + 30 + 6a + 2ab + -10b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6a + 2ab + -10b = 0 + 30 6a + 2ab + -10b = 0 + 30 Combine like terms: 0 + 30 = 30 6a + 2ab + -10b = 30 Add '10b' to each side of the equation. 6a + 2ab + -10b + 10b = 30 + 10b Combine like terms: -10b + 10b = 0 6a + 2ab + 0 = 30 + 10b 6a + 2ab = 30 + 10b Reorder the terms: -30 + 6a + 2ab + -10b = 30 + 10b + -30 + -10b Reorder the terms: -30 + 6a + 2ab + -10b = 30 + -30 + 10b + -10b Combine like terms: 30 + -30 = 0 -30 + 6a + 2ab + -10b = 0 + 10b + -10b -30 + 6a + 2ab + -10b = 10b + -10b Combine like terms: 10b + -10b = 0 -30 + 6a + 2ab + -10b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 3a + ab + -5b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 3a + ab + -5b)' equal to zero and attempt to solve: Simplifying -15 + 3a + ab + -5b = 0 Solving -15 + 3a + ab + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3a + ab + 15 + -5b = 0 + 15 Reorder the terms: -15 + 15 + 3a + ab + -5b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3a + ab + -5b = 0 + 15 3a + ab + -5b = 0 + 15 Combine like terms: 0 + 15 = 15 3a + ab + -5b = 15 Add '5b' to each side of the equation. 3a + ab + -5b + 5b = 15 + 5b Combine like terms: -5b + 5b = 0 3a + ab + 0 = 15 + 5b 3a + ab = 15 + 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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