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Simplifying 9a8 + -30a4b + 25b2 = 0 Reorder the terms: -30a4b + 9a8 + 25b2 = 0 Solving -30a4b + 9a8 + 25b2 = 0 Solving for variable 'a'. Factor a trinomial. (3a4 + -5b)(3a4 + -5b) = 0Subproblem 1
Set the factor '(3a4 + -5b)' equal to zero and attempt to solve: Simplifying 3a4 + -5b = 0 Solving 3a4 + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a4 + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a4 + 0 = 0 + 5b 3a4 = 0 + 5b Remove the zero: 3a4 = 5b Divide each side by '3'. a4 = 1.666666667b Simplifying a4 = 1.666666667b 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 '(3a4 + -5b)' equal to zero and attempt to solve: Simplifying 3a4 + -5b = 0 Solving 3a4 + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a4 + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 3a4 + 0 = 0 + 5b 3a4 = 0 + 5b Remove the zero: 3a4 = 5b Divide each side by '3'. a4 = 1.666666667b Simplifying a4 = 1.666666667b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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