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Simplifying 256m4 + -1 = 0 Reorder the terms: -1 + 256m4 = 0 Solving -1 + 256m4 = 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 + 256m4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 256m4 = 0 + 1 256m4 = 0 + 1 Combine like terms: 0 + 1 = 1 256m4 = 1 Divide each side by '256'. m4 = 0.00390625 Simplifying m4 = 0.00390625 Reorder the terms: -0.00390625 + m4 = 0.00390625 + -0.00390625 Combine like terms: 0.00390625 + -0.00390625 = 0.00000000 -0.00390625 + m4 = 0.00000000 Factor a difference between two squares. (0.0625 + m2)(-0.0625 + m2) = 0.00000000 Factor a difference between two squares. (0.0625 + m2)((0.25 + m)(-0.25 + m)) = 0.00000000Subproblem 1
Set the factor '(0.0625 + m2)' equal to zero and attempt to solve: Simplifying 0.0625 + m2 = 0 Solving 0.0625 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.0625' to each side of the equation. 0.0625 + -0.0625 + m2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + m2 = 0 + -0.0625 m2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 m2 = -0.0625 Simplifying m2 = -0.0625 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 '(0.25 + m)' equal to zero and attempt to solve: Simplifying 0.25 + m = 0 Solving 0.25 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + m = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + m = 0 + -0.25 m = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 m = -0.25 Simplifying m = -0.25Subproblem 3
Set the factor '(-0.25 + m)' equal to zero and attempt to solve: Simplifying -0.25 + m = 0 Solving -0.25 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + m = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + m = 0 + 0.25 m = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 m = 0.25 Simplifying m = 0.25Solution
m = {-0.25, 0.25}
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