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Simplifying 100a4 + -60a2b + 9b2 = 0 Reorder the terms: -60a2b + 100a4 + 9b2 = 0 Solving -60a2b + 100a4 + 9b2 = 0 Solving for variable 'a'. Factor a trinomial. (10a2 + -3b)(10a2 + -3b) = 0Subproblem 1
Set the factor '(10a2 + -3b)' equal to zero and attempt to solve: Simplifying 10a2 + -3b = 0 Solving 10a2 + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 10a2 + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 10a2 + 0 = 0 + 3b 10a2 = 0 + 3b Remove the zero: 10a2 = 3b Divide each side by '10'. a2 = 0.3b Simplifying a2 = 0.3b 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 '(10a2 + -3b)' equal to zero and attempt to solve: Simplifying 10a2 + -3b = 0 Solving 10a2 + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 10a2 + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 10a2 + 0 = 0 + 3b 10a2 = 0 + 3b Remove the zero: 10a2 = 3b Divide each side by '10'. a2 = 0.3b Simplifying a2 = 0.3b 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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