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Simplifying 4a3b + -40a2b2 + 100ab3 = 0 Reorder the terms: 100ab3 + -40a2b2 + 4a3b = 0 Solving 100ab3 + -40a2b2 + 4a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(25b2 + -10ab + a2) = 0 Factor a trinomial. 4ab((5b + -1a)(5b + -1a)) = 0 Ignore the factor 4.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 '(5b + -1a)' equal to zero and attempt to solve: Simplifying 5b + -1a = 0 Reorder the terms: -1a + 5b = 0 Solving -1a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -1a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -1a + 0 = 0 + -5b -1a = 0 + -5b Remove the zero: -1a = -5b Divide each side by '-1'. a = 5b Simplifying a = 5bSubproblem 3
Set the factor '(5b + -1a)' equal to zero and attempt to solve: Simplifying 5b + -1a = 0 Reorder the terms: -1a + 5b = 0 Solving -1a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -1a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -1a + 0 = 0 + -5b -1a = 0 + -5b Remove the zero: -1a = -5b Divide each side by '-1'. a = 5b Simplifying a = 5bSolution
a = {5b, 5b}
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