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Simplifying 7a2b + 4ab2 + -6ab2 + -2a2b + 9ab = 0 Reorder the terms: 9ab + 4ab2 + -6ab2 + 7a2b + -2a2b = 0 Combine like terms: 4ab2 + -6ab2 = -2ab2 9ab + -2ab2 + 7a2b + -2a2b = 0 Combine like terms: 7a2b + -2a2b = 5a2b 9ab + -2ab2 + 5a2b = 0 Solving 9ab + -2ab2 + 5a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(9 + -2b + 5a) = 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 '(9 + -2b + 5a)' equal to zero and attempt to solve: Simplifying 9 + -2b + 5a = 0 Reorder the terms: 9 + 5a + -2b = 0 Solving 9 + 5a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 5a + -9 + -2b = 0 + -9 Reorder the terms: 9 + -9 + 5a + -2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5a + -2b = 0 + -9 5a + -2b = 0 + -9 Combine like terms: 0 + -9 = -9 5a + -2b = -9 Add '2b' to each side of the equation. 5a + -2b + 2b = -9 + 2b Combine like terms: -2b + 2b = 0 5a + 0 = -9 + 2b 5a = -9 + 2b Divide each side by '5'. a = -1.8 + 0.4b Simplifying a = -1.8 + 0.4bSolution
a = {-1.8 + 0.4b}
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