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Simplifying 0 = (2m3 + n)(2m3 + -1n) Multiply (2m3 + n) * (2m3 + -1n) 0 = (2m3 * (2m3 + -1n) + n(2m3 + -1n)) 0 = ((2m3 * 2m3 + -1n * 2m3) + n(2m3 + -1n)) Reorder the terms: 0 = ((-2m3n + 4m6) + n(2m3 + -1n)) 0 = ((-2m3n + 4m6) + n(2m3 + -1n)) 0 = (-2m3n + 4m6 + (2m3 * n + -1n * n)) 0 = (-2m3n + 4m6 + (2m3n + -1n2)) Reorder the terms: 0 = (-2m3n + 2m3n + 4m6 + -1n2) Combine like terms: -2m3n + 2m3n = 0 0 = (0 + 4m6 + -1n2) 0 = (4m6 + -1n2) Solving 0 = 4m6 + -1n2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m6' to each side of the equation. 0 + -4m6 = 4m6 + -4m6 + -1n2 Remove the zero: -4m6 = 4m6 + -4m6 + -1n2 Combine like terms: 4m6 + -4m6 = 0 -4m6 = 0 + -1n2 -4m6 = -1n2 Divide each side by '-4'. m6 = 0.25n2 Simplifying m6 = 0.25n2 Combine like terms: 0.25n2 + -0.25n2 = 0.00 m6 + -0.25n2 = 0.00 Factor a difference between two squares. (m3 + 0.5n)(m3 + -0.5n) = 0.00Subproblem 1
Set the factor '(m3 + 0.5n)' equal to zero and attempt to solve: Simplifying m3 + 0.5n = 0 Solving m3 + 0.5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.5n' to each side of the equation. m3 + 0.5n + -0.5n = 0 + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 m3 + 0.0 = 0 + -0.5n m3 = 0 + -0.5n Remove the zero: m3 = -0.5n Simplifying m3 = -0.5n 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 '(m3 + -0.5n)' equal to zero and attempt to solve: Simplifying m3 + -0.5n = 0 Solving m3 + -0.5n = 0 Move all terms containing m to the left, all other terms to the right. Add '0.5n' to each side of the equation. m3 + -0.5n + 0.5n = 0 + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 m3 + 0.0 = 0 + 0.5n m3 = 0 + 0.5n Remove the zero: m3 = 0.5n Simplifying m3 = 0.5n 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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