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Simplifying 625m4 + -1 = 0 Reorder the terms: -1 + 625m4 = 0 Solving -1 + 625m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 625m4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 625m4 = 0 + 1 625m4 = 0 + 1 Combine like terms: 0 + 1 = 1 625m4 = 1 Divide each side by '625'. m4 = 0.0016 Simplifying m4 = 0.0016 Reorder the terms: -0.0016 + m4 = 0.0016 + -0.0016 Combine like terms: 0.0016 + -0.0016 = 0.0000 -0.0016 + m4 = 0.0000 Factor a difference between two squares. (0.04 + m2)(-0.04 + m2) = 0.0000 Factor a difference between two squares. (0.04 + m2)((0.2 + m)(-0.2 + m)) = 0.0000Subproblem 1
Set the factor '(0.04 + m2)' equal to zero and attempt to solve: Simplifying 0.04 + m2 = 0 Solving 0.04 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + m2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + m2 = 0 + -0.04 m2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 m2 = -0.04 Simplifying m2 = -0.04 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 '(0.2 + m)' equal to zero and attempt to solve: Simplifying 0.2 + m = 0 Solving 0.2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + m = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + m = 0 + -0.2 m = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 m = -0.2 Simplifying m = -0.2Subproblem 3
Set the factor '(-0.2 + m)' equal to zero and attempt to solve: Simplifying -0.2 + m = 0 Solving -0.2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + m = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + m = 0 + 0.2 m = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 m = 0.2 Simplifying m = 0.2Solution
m = {-0.2, 0.2}
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