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Simplifying 12a2b + 8a + -5a2b + 2ab = 0 Reorder the terms: 8a + 2ab + 12a2b + -5a2b = 0 Combine like terms: 12a2b + -5a2b = 7a2b 8a + 2ab + 7a2b = 0 Solving 8a + 2ab + 7a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(8 + 2b + 7ab) = 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 '(8 + 2b + 7ab)' equal to zero and attempt to solve: Simplifying 8 + 2b + 7ab = 0 Reorder the terms: 8 + 7ab + 2b = 0 Solving 8 + 7ab + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 7ab + -8 + 2b = 0 + -8 Reorder the terms: 8 + -8 + 7ab + 2b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7ab + 2b = 0 + -8 7ab + 2b = 0 + -8 Combine like terms: 0 + -8 = -8 7ab + 2b = -8 Add '-2b' to each side of the equation. 7ab + 2b + -2b = -8 + -2b Combine like terms: 2b + -2b = 0 7ab + 0 = -8 + -2b 7ab = -8 + -2b Divide each side by '7b'. a = -1.142857143b-1 + -0.2857142857 Simplifying a = -1.142857143b-1 + -0.2857142857 Reorder the terms: a = -0.2857142857 + -1.142857143b-1Solution
a = {0, -0.2857142857 + -1.142857143b-1}
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