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Simplifying 15a3b + 20a2b2 + -35a2b = 0 Reorder the terms: -35a2b + 20a2b2 + 15a3b = 0 Solving -35a2b + 20a2b2 + 15a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2b'. 5a2b(-7 + 4b + 3a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(-7 + 4b + 3a)' equal to zero and attempt to solve: Simplifying -7 + 4b + 3a = 0 Reorder the terms: -7 + 3a + 4b = 0 Solving -7 + 3a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3a + 7 + 4b = 0 + 7 Reorder the terms: -7 + 7 + 3a + 4b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3a + 4b = 0 + 7 3a + 4b = 0 + 7 Combine like terms: 0 + 7 = 7 3a + 4b = 7 Add '-4b' to each side of the equation. 3a + 4b + -4b = 7 + -4b Combine like terms: 4b + -4b = 0 3a + 0 = 7 + -4b 3a = 7 + -4b Divide each side by '3'. a = 2.333333333 + -1.333333333b Simplifying a = 2.333333333 + -1.333333333bSolution
a = {2.333333333 + -1.333333333b}
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