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Simplifying -5(4a + -5b + -4ab + 2b) = 0 Reorder the terms: -5(4a + -4ab + -5b + 2b) = 0 Combine like terms: -5b + 2b = -3b -5(4a + -4ab + -3b) = 0 (4a * -5 + -4ab * -5 + -3b * -5) = 0 (-20a + 20ab + 15b) = 0 Solving -20a + 20ab + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. -20a + 20ab + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 -20a + 20ab + 0 = 0 + -15b -20a + 20ab = 0 + -15b Remove the zero: -20a + 20ab = -15b Combine like terms: -15b + 15b = 0 -20a + 20ab + 15b = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4a + 4ab + 3b) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4a + 4ab + 3b)' equal to zero and attempt to solve: Simplifying -4a + 4ab + 3b = 0 Solving -4a + 4ab + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -4a + 4ab + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -4a + 4ab + 0 = 0 + -3b -4a + 4ab = 0 + -3b Remove the zero: -4a + 4ab = -3b 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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