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Simplifying 8(4a2b + -5ab2 + ab) = 0 Reorder the terms: 8(ab + -5ab2 + 4a2b) = 0 (ab * 8 + -5ab2 * 8 + 4a2b * 8) = 0 (8ab + -40ab2 + 32a2b) = 0 Solving 8ab + -40ab2 + 32a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8ab'. 8ab(1 + -5b + 4a) = 0 Ignore the factor 8.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 '(1 + -5b + 4a)' equal to zero and attempt to solve: Simplifying 1 + -5b + 4a = 0 Reorder the terms: 1 + 4a + -5b = 0 Solving 1 + 4a + -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 + 4a + -1 + -5b = 0 + -1 Reorder the terms: 1 + -1 + 4a + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a + -5b = 0 + -1 4a + -5b = 0 + -1 Combine like terms: 0 + -1 = -1 4a + -5b = -1 Add '5b' to each side of the equation. 4a + -5b + 5b = -1 + 5b Combine like terms: -5b + 5b = 0 4a + 0 = -1 + 5b 4a = -1 + 5b Divide each side by '4'. a = -0.25 + 1.25b Simplifying a = -0.25 + 1.25bSolution
a = {-0.25 + 1.25b}
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