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Simplifying 5m4 + -20 = 0 Reorder the terms: -20 + 5m4 = 0 Solving -20 + 5m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5m4 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5m4 = 0 + 20 5m4 = 0 + 20 Combine like terms: 0 + 20 = 20 5m4 = 20 Divide each side by '5'. m4 = 4 Simplifying m4 = 4 Reorder the terms: -4 + m4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + m4 = 0 Factor a difference between two squares. (2 + m2)(-2 + m2) = 0Subproblem 1
Set the factor '(2 + m2)' equal to zero and attempt to solve: Simplifying 2 + m2 = 0 Solving 2 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m2 = 0 + -2 m2 = 0 + -2 Combine like terms: 0 + -2 = -2 m2 = -2 Simplifying m2 = -2 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 '(-2 + m2)' equal to zero and attempt to solve: Simplifying -2 + m2 = 0 Solving -2 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m2 = 0 + 2 m2 = 0 + 2 Combine like terms: 0 + 2 = 2 m2 = 2 Simplifying m2 = 2 Take the square root of each side: m = {-1.414213562, 1.414213562}Solution
m = {-1.414213562, 1.414213562}
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