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Simplifying 3ab2(5a2b + -2ab + 4ab2) = 0 Reorder the terms: 3ab2(-2ab + 4ab2 + 5a2b) = 0 (-2ab * 3ab2 + 4ab2 * 3ab2 + 5a2b * 3ab2) = 0 (-6a2b3 + 12a2b4 + 15a3b3) = 0 Solving -6a2b3 + 12a2b4 + 15a3b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2b3'. 3a2b3(-2 + 4b + 5a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a2b3' equal to zero and attempt to solve: Simplifying a2b3 = 0 Solving a2b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b3 = 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 + 4b + 5a)' equal to zero and attempt to solve: Simplifying -2 + 4b + 5a = 0 Reorder the terms: -2 + 5a + 4b = 0 Solving -2 + 5a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5a + 2 + 4b = 0 + 2 Reorder the terms: -2 + 2 + 5a + 4b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5a + 4b = 0 + 2 5a + 4b = 0 + 2 Combine like terms: 0 + 2 = 2 5a + 4b = 2 Add '-4b' to each side of the equation. 5a + 4b + -4b = 2 + -4b Combine like terms: 4b + -4b = 0 5a + 0 = 2 + -4b 5a = 2 + -4b Divide each side by '5'. a = 0.4 + -0.8b Simplifying a = 0.4 + -0.8bSolution
a = {0.4 + -0.8b}
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