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Simplifying 4m4 + -9n6 = 0 Solving 4m4 + -9n6 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9n6' to each side of the equation. 4m4 + -9n6 + 9n6 = 0 + 9n6 Combine like terms: -9n6 + 9n6 = 0 4m4 + 0 = 0 + 9n6 4m4 = 0 + 9n6 Remove the zero: 4m4 = 9n6 Divide each side by '4'. m4 = 2.25n6 Simplifying m4 = 2.25n6 Combine like terms: 2.25n6 + -2.25n6 = 0.00 m4 + -2.25n6 = 0.00 Factor a difference between two squares. (m2 + 1.5n3)(m2 + -1.5n3) = 0.00Subproblem 1
Set the factor '(m2 + 1.5n3)' equal to zero and attempt to solve: Simplifying m2 + 1.5n3 = 0 Solving m2 + 1.5n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1.5n3' to each side of the equation. m2 + 1.5n3 + -1.5n3 = 0 + -1.5n3 Combine like terms: 1.5n3 + -1.5n3 = 0.0 m2 + 0.0 = 0 + -1.5n3 m2 = 0 + -1.5n3 Remove the zero: m2 = -1.5n3 Simplifying m2 = -1.5n3 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 '(m2 + -1.5n3)' equal to zero and attempt to solve: Simplifying m2 + -1.5n3 = 0 Solving m2 + -1.5n3 = 0 Move all terms containing m to the left, all other terms to the right. Add '1.5n3' to each side of the equation. m2 + -1.5n3 + 1.5n3 = 0 + 1.5n3 Combine like terms: -1.5n3 + 1.5n3 = 0.0 m2 + 0.0 = 0 + 1.5n3 m2 = 0 + 1.5n3 Remove the zero: m2 = 1.5n3 Simplifying m2 = 1.5n3 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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