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Simplifying 8a2b + 3ab2 + 4ab = 0 Reorder the terms: 4ab + 3ab2 + 8a2b = 0 Solving 4ab + 3ab2 + 8a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(4 + 3b + 8a) = 0Subproblem 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 '(4 + 3b + 8a)' equal to zero and attempt to solve: Simplifying 4 + 3b + 8a = 0 Reorder the terms: 4 + 8a + 3b = 0 Solving 4 + 8a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8a + -4 + 3b = 0 + -4 Reorder the terms: 4 + -4 + 8a + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8a + 3b = 0 + -4 8a + 3b = 0 + -4 Combine like terms: 0 + -4 = -4 8a + 3b = -4 Add '-3b' to each side of the equation. 8a + 3b + -3b = -4 + -3b Combine like terms: 3b + -3b = 0 8a + 0 = -4 + -3b 8a = -4 + -3b Divide each side by '8'. a = -0.5 + -0.375b Simplifying a = -0.5 + -0.375bSolution
a = {-0.5 + -0.375b}
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