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Simplifying 9a2b + -30ab2 + 25b3 = 0 Reorder the terms: -30ab2 + 9a2b + 25b3 = 0 Solving -30ab2 + 9a2b + 25b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(-30ab + 9a2 + 25b2) = 0 Factor a trinomial. b((3a + -5b)(3a + -5b)) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(3a + -5b)' equal to zero and attempt to solve: Simplifying 3a + -5b = 0 Solving 3a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 = 0 + 5b 3a = 0 + 5b Remove the zero: 3a = 5b Divide each side by '3'. a = 1.666666667b Simplifying a = 1.666666667bSubproblem 3
Set the factor '(3a + -5b)' equal to zero and attempt to solve: Simplifying 3a + -5b = 0 Solving 3a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 = 0 + 5b 3a = 0 + 5b Remove the zero: 3a = 5b Divide each side by '3'. a = 1.666666667b Simplifying a = 1.666666667bSolution
a = {1.666666667b, 1.666666667b}
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