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Simplifying 10a + 8b(5a + -1) = 0 Reorder the terms: 10a + 8b(-1 + 5a) = 0 10a + (-1 * 8b + 5a * 8b) = 0 Reorder the terms: 10a + (40ab + -8b) = 0 10a + (40ab + -8b) = 0 Solving 10a + 40ab + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 10a + 40ab + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 10a + 40ab + 0 = 0 + 8b 10a + 40ab = 0 + 8b Remove the zero: 10a + 40ab = 8b Combine like terms: 8b + -8b = 0 10a + 40ab + -8b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5a + 20ab + -4b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5a + 20ab + -4b)' equal to zero and attempt to solve: Simplifying 5a + 20ab + -4b = 0 Solving 5a + 20ab + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5a + 20ab + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 20ab + 0 = 0 + 4b 5a + 20ab = 0 + 4b Remove the zero: 5a + 20ab = 4b 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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