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Simplifying 25a4 + -81b6 = 0 Solving 25a4 + -81b6 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '81b6' to each side of the equation. 25a4 + -81b6 + 81b6 = 0 + 81b6 Combine like terms: -81b6 + 81b6 = 0 25a4 + 0 = 0 + 81b6 25a4 = 0 + 81b6 Remove the zero: 25a4 = 81b6 Divide each side by '25'. a4 = 3.24b6 Simplifying a4 = 3.24b6 Combine like terms: 3.24b6 + -3.24b6 = 0.00 a4 + -3.24b6 = 0.00 Factor a difference between two squares. (a2 + 1.8b3)(a2 + -1.8b3) = 0.00Subproblem 1
Set the factor '(a2 + 1.8b3)' equal to zero and attempt to solve: Simplifying a2 + 1.8b3 = 0 Solving a2 + 1.8b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.8b3' to each side of the equation. a2 + 1.8b3 + -1.8b3 = 0 + -1.8b3 Combine like terms: 1.8b3 + -1.8b3 = 0.0 a2 + 0.0 = 0 + -1.8b3 a2 = 0 + -1.8b3 Remove the zero: a2 = -1.8b3 Simplifying a2 = -1.8b3 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 '(a2 + -1.8b3)' equal to zero and attempt to solve: Simplifying a2 + -1.8b3 = 0 Solving a2 + -1.8b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '1.8b3' to each side of the equation. a2 + -1.8b3 + 1.8b3 = 0 + 1.8b3 Combine like terms: -1.8b3 + 1.8b3 = 0.0 a2 + 0.0 = 0 + 1.8b3 a2 = 0 + 1.8b3 Remove the zero: a2 = 1.8b3 Simplifying a2 = 1.8b3 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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