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Simplifying 10ab + -9a + 7a = 0 Reorder the terms: -9a + 7a + 10ab = 0 Combine like terms: -9a + 7a = -2a -2a + 10ab = 0 Solving -2a + 10ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-1 + 5b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-1 + 5b)' equal to zero and attempt to solve: Simplifying -1 + 5b = 0 Solving -1 + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5b = 0 + 1 5b = 0 + 1 Combine like terms: 0 + 1 = 1 5b = 1 Add '-5b' to each side of the equation. 5b + -5b = 1 + -5b Combine like terms: 5b + -5b = 0 0 = 1 + -5b Simplifying 0 = 1 + -5b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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