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Simplifying 8a2b + -3ab2 + -7a2b + 2ab = 0 Reorder the terms: 2ab + -3ab2 + 8a2b + -7a2b = 0 Combine like terms: 8a2b + -7a2b = 1a2b 2ab + -3ab2 + 1a2b = 0 Solving 2ab + -3ab2 + 1a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(2 + -3b + a) = 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 '(2 + -3b + a)' equal to zero and attempt to solve: Simplifying 2 + -3b + a = 0 Reorder the terms: 2 + a + -3b = 0 Solving 2 + a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + a + -2 + -3b = 0 + -2 Reorder the terms: 2 + -2 + a + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a + -3b = 0 + -2 a + -3b = 0 + -2 Combine like terms: 0 + -2 = -2 a + -3b = -2 Add '3b' to each side of the equation. a + -3b + 3b = -2 + 3b Combine like terms: -3b + 3b = 0 a + 0 = -2 + 3b a = -2 + 3b Simplifying a = -2 + 3bSolution
a = {-2 + 3b}
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