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Simplifying a + 8a2b + -1ab = 0 Reorder the terms: a + -1ab + 8a2b = 0 Solving a + -1ab + 8a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + -1b + 8ab) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + -1b + 8ab)' equal to zero and attempt to solve: Simplifying 1 + -1b + 8ab = 0 Reorder the terms: 1 + 8ab + -1b = 0 Solving 1 + 8ab + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 8ab + -1 + -1b = 0 + -1 Reorder the terms: 1 + -1 + 8ab + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8ab + -1b = 0 + -1 8ab + -1b = 0 + -1 Combine like terms: 0 + -1 = -1 8ab + -1b = -1 Add 'b' to each side of the equation. 8ab + -1b + b = -1 + b Combine like terms: -1b + b = 0 8ab + 0 = -1 + b 8ab = -1 + b Divide each side by '8b'. a = -0.125b-1 + 0.125 Simplifying a = -0.125b-1 + 0.125 Reorder the terms: a = 0.125 + -0.125b-1Solution
a = {0, 0.125 + -0.125b-1}
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