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Simplifying 15a3b2 + -45a2b3 + -60a2b = 0 Reorder the terms: -60a2b + -45a2b3 + 15a3b2 = 0 Solving -60a2b + -45a2b3 + 15a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '15a2b'. 15a2b(-4 + -3b2 + ab) = 0 Ignore the factor 15.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 '(-4 + -3b2 + ab)' equal to zero and attempt to solve: Simplifying -4 + -3b2 + ab = 0 Reorder the terms: -4 + ab + -3b2 = 0 Solving -4 + ab + -3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + ab + 4 + -3b2 = 0 + 4 Reorder the terms: -4 + 4 + ab + -3b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + ab + -3b2 = 0 + 4 ab + -3b2 = 0 + 4 Combine like terms: 0 + 4 = 4 ab + -3b2 = 4 Add '3b2' to each side of the equation. ab + -3b2 + 3b2 = 4 + 3b2 Combine like terms: -3b2 + 3b2 = 0 ab + 0 = 4 + 3b2 ab = 4 + 3b2 Divide each side by 'b'. a = 4b-1 + 3b Simplifying a = 4b-1 + 3bSolution
a = {4b-1 + 3b}
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