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Simplifying (4m5 + 5n6)(4m5 + 5n6) = 0 Multiply (4m5 + 5n6) * (4m5 + 5n6) (4m5 * (4m5 + 5n6) + 5n6 * (4m5 + 5n6)) = 0 ((4m5 * 4m5 + 5n6 * 4m5) + 5n6 * (4m5 + 5n6)) = 0 Reorder the terms: ((20m5n6 + 16m10) + 5n6 * (4m5 + 5n6)) = 0 ((20m5n6 + 16m10) + 5n6 * (4m5 + 5n6)) = 0 (20m5n6 + 16m10 + (4m5 * 5n6 + 5n6 * 5n6)) = 0 (20m5n6 + 16m10 + (20m5n6 + 25n12)) = 0 Reorder the terms: (20m5n6 + 20m5n6 + 16m10 + 25n12) = 0 Combine like terms: 20m5n6 + 20m5n6 = 40m5n6 (40m5n6 + 16m10 + 25n12) = 0 Solving 40m5n6 + 16m10 + 25n12 = 0 Solving for variable 'm'. Factor a trinomial. (4m5 + 5n6)(4m5 + 5n6) = 0Subproblem 1
Set the factor '(4m5 + 5n6)' equal to zero and attempt to solve: Simplifying 4m5 + 5n6 = 0 Solving 4m5 + 5n6 = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n6' to each side of the equation. 4m5 + 5n6 + -5n6 = 0 + -5n6 Combine like terms: 5n6 + -5n6 = 0 4m5 + 0 = 0 + -5n6 4m5 = 0 + -5n6 Remove the zero: 4m5 = -5n6 Divide each side by '4'. m5 = -1.25n6 Simplifying m5 = -1.25n6 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 '(4m5 + 5n6)' equal to zero and attempt to solve: Simplifying 4m5 + 5n6 = 0 Solving 4m5 + 5n6 = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n6' to each side of the equation. 4m5 + 5n6 + -5n6 = 0 + -5n6 Combine like terms: 5n6 + -5n6 = 0 4m5 + 0 = 0 + -5n6 4m5 = 0 + -5n6 Remove the zero: 4m5 = -5n6 Divide each side by '4'. m5 = -1.25n6 Simplifying m5 = -1.25n6 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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