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Simplifying 625m4 + -16 = 0 Reorder the terms: -16 + 625m4 = 0 Solving -16 + 625m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 625m4 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 625m4 = 0 + 16 625m4 = 0 + 16 Combine like terms: 0 + 16 = 16 625m4 = 16 Divide each side by '625'. m4 = 0.0256 Simplifying m4 = 0.0256 Reorder the terms: -0.0256 + m4 = 0.0256 + -0.0256 Combine like terms: 0.0256 + -0.0256 = 0.0000 -0.0256 + m4 = 0.0000 Factor a difference between two squares. (0.16 + m2)(-0.16 + m2) = 0.0000 Factor a difference between two squares. (0.16 + m2)((0.4 + m)(-0.4 + m)) = 0.0000Subproblem 1
Set the factor '(0.16 + m2)' equal to zero and attempt to solve: Simplifying 0.16 + m2 = 0 Solving 0.16 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.16' to each side of the equation. 0.16 + -0.16 + m2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + m2 = 0 + -0.16 m2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 m2 = -0.16 Simplifying m2 = -0.16 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 '(0.4 + m)' equal to zero and attempt to solve: Simplifying 0.4 + m = 0 Solving 0.4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + m = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + m = 0 + -0.4 m = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 m = -0.4 Simplifying m = -0.4Subproblem 3
Set the factor '(-0.4 + m)' equal to zero and attempt to solve: Simplifying -0.4 + m = 0 Solving -0.4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + m = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + m = 0 + 0.4 m = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 m = 0.4 Simplifying m = 0.4Solution
m = {-0.4, 0.4}
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