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Simplifying -4ab(5a + -9b + -8) = 0 Reorder the terms: -4ab(-8 + 5a + -9b) = 0 (-8 * -4ab + 5a * -4ab + -9b * -4ab) = 0 Reorder the terms: (32ab + 36ab2 + -20a2b) = 0 (32ab + 36ab2 + -20a2b) = 0 Solving 32ab + 36ab2 + -20a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(8 + 9b + -5a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + 9b + -5a)' equal to zero and attempt to solve: Simplifying 8 + 9b + -5a = 0 Reorder the terms: 8 + -5a + 9b = 0 Solving 8 + -5a + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -5a + -8 + 9b = 0 + -8 Reorder the terms: 8 + -8 + -5a + 9b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5a + 9b = 0 + -8 -5a + 9b = 0 + -8 Combine like terms: 0 + -8 = -8 -5a + 9b = -8 Add '-9b' to each side of the equation. -5a + 9b + -9b = -8 + -9b Combine like terms: 9b + -9b = 0 -5a + 0 = -8 + -9b -5a = -8 + -9b Divide each side by '-5'. a = 1.6 + 1.8b Simplifying a = 1.6 + 1.8bSolution
a = {1.6 + 1.8b}
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