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Simplifying 10a2b + 6ab2 = 2ab Reorder the terms: 6ab2 + 10a2b = 2ab Solving 6ab2 + 10a2b = 2ab Solving for variable 'a'. Reorder the terms: -2ab + 6ab2 + 10a2b = 2ab + -2ab Combine like terms: 2ab + -2ab = 0 -2ab + 6ab2 + 10a2b = 0 Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(-1 + 3b + 5a) = 0 Ignore the factor 2.Subproblem 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 '(-1 + 3b + 5a)' equal to zero and attempt to solve: Simplifying -1 + 3b + 5a = 0 Reorder the terms: -1 + 5a + 3b = 0 Solving -1 + 5a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5a + 1 + 3b = 0 + 1 Reorder the terms: -1 + 1 + 5a + 3b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a + 3b = 0 + 1 5a + 3b = 0 + 1 Combine like terms: 0 + 1 = 1 5a + 3b = 1 Add '-3b' to each side of the equation. 5a + 3b + -3b = 1 + -3b Combine like terms: 3b + -3b = 0 5a + 0 = 1 + -3b 5a = 1 + -3b Divide each side by '5'. a = 0.2 + -0.6b Simplifying a = 0.2 + -0.6bSolution
a = {0.2 + -0.6b}
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