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Simplifying 7a2b + 5ab2 + -2a2b + 3ab2 = 0 Reorder the terms: 5ab2 + 3ab2 + 7a2b + -2a2b = 0 Combine like terms: 5ab2 + 3ab2 = 8ab2 8ab2 + 7a2b + -2a2b = 0 Combine like terms: 7a2b + -2a2b = 5a2b 8ab2 + 5a2b = 0 Solving 8ab2 + 5a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(8b + 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 '(8b + 5a)' equal to zero and attempt to solve: Simplifying 8b + 5a = 0 Reorder the terms: 5a + 8b = 0 Solving 5a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 5a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 5a + 0 = 0 + -8b 5a = 0 + -8b Remove the zero: 5a = -8b Divide each side by '5'. a = -1.6b Simplifying a = -1.6bSolution
a = {-1.6b}
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