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Simplifying mod(x4 + -1x) + mod(x3 + -1X2) = mod(x4 + -1x3 + x2 + -1x) Reorder the terms: dmo(-1x + x4) + mod(x3 + -1X2) = mod(x4 + -1x3 + x2 + -1x) (-1x * dmo + x4 * dmo) + mod(x3 + -1X2) = mod(x4 + -1x3 + x2 + -1x) (-1dmox + dmox4) + mod(x3 + -1X2) = mod(x4 + -1x3 + x2 + -1x) Reorder the terms: -1dmox + dmox4 + dmo(-1X2 + x3) = mod(x4 + -1x3 + x2 + -1x) -1dmox + dmox4 + (-1X2 * dmo + x3 * dmo) = mod(x4 + -1x3 + x2 + -1x) -1dmox + dmox4 + (-1dmoX2 + dmox3) = mod(x4 + -1x3 + x2 + -1x) Reorder the terms: -1dmoX2 + -1dmox + dmox3 + dmox4 = mod(x4 + -1x3 + x2 + -1x) Reorder the terms: -1dmoX2 + -1dmox + dmox3 + dmox4 = dmo(-1x + x2 + -1x3 + x4) -1dmoX2 + -1dmox + dmox3 + dmox4 = (-1x * dmo + x2 * dmo + -1x3 * dmo + x4 * dmo) -1dmoX2 + -1dmox + dmox3 + dmox4 = (-1dmox + dmox2 + -1dmox3 + dmox4) Add 'dmox' to each side of the equation. -1dmoX2 + -1dmox + dmox3 + dmox + dmox4 = -1dmox + dmox2 + -1dmox3 + dmox + dmox4 Reorder the terms: -1dmoX2 + -1dmox + dmox + dmox3 + dmox4 = -1dmox + dmox2 + -1dmox3 + dmox + dmox4 Combine like terms: -1dmox + dmox = 0 -1dmoX2 + 0 + dmox3 + dmox4 = -1dmox + dmox2 + -1dmox3 + dmox + dmox4 -1dmoX2 + dmox3 + dmox4 = -1dmox + dmox2 + -1dmox3 + dmox + dmox4 Reorder the terms: -1dmoX2 + dmox3 + dmox4 = -1dmox + dmox + dmox2 + -1dmox3 + dmox4 Combine like terms: -1dmox + dmox = 0 -1dmoX2 + dmox3 + dmox4 = 0 + dmox2 + -1dmox3 + dmox4 -1dmoX2 + dmox3 + dmox4 = dmox2 + -1dmox3 + dmox4 Add '-1dmox4' to each side of the equation. -1dmoX2 + dmox3 + dmox4 + -1dmox4 = dmox2 + -1dmox3 + dmox4 + -1dmox4 Combine like terms: dmox4 + -1dmox4 = 0 -1dmoX2 + dmox3 + 0 = dmox2 + -1dmox3 + dmox4 + -1dmox4 -1dmoX2 + dmox3 = dmox2 + -1dmox3 + dmox4 + -1dmox4 Combine like terms: dmox4 + -1dmox4 = 0 -1dmoX2 + dmox3 = dmox2 + -1dmox3 + 0 -1dmoX2 + dmox3 = dmox2 + -1dmox3 Solving -1dmoX2 + dmox3 = dmox2 + -1dmox3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dmox2' to each side of the equation. -1dmoX2 + -1dmox2 + dmox3 = dmox2 + -1dmox2 + -1dmox3 Combine like terms: dmox2 + -1dmox2 = 0 -1dmoX2 + -1dmox2 + dmox3 = 0 + -1dmox3 -1dmoX2 + -1dmox2 + dmox3 = -1dmox3 Add 'dmox3' to each side of the equation. -1dmoX2 + -1dmox2 + dmox3 + dmox3 = -1dmox3 + dmox3 Combine like terms: dmox3 + dmox3 = 2dmox3 -1dmoX2 + -1dmox2 + 2dmox3 = -1dmox3 + dmox3 Combine like terms: -1dmox3 + dmox3 = 0 -1dmoX2 + -1dmox2 + 2dmox3 = 0 Factor out the Greatest Common Factor (GCF), 'dmo'. dmo(-1X2 + -1x2 + 2x3) = 0Subproblem 1
Set the factor 'dmo' equal to zero and attempt to solve: Simplifying dmo = 0 Solving dmo = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dmo = 0 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 '(-1X2 + -1x2 + 2x3)' equal to zero and attempt to solve: Simplifying -1X2 + -1x2 + 2x3 = 0 Solving -1X2 + -1x2 + 2x3 = 0 Move all terms containing d to the left, all other terms to the right. Add 'X2' to each side of the equation. -1X2 + -1x2 + X2 + 2x3 = 0 + X2 Reorder the terms: -1X2 + X2 + -1x2 + 2x3 = 0 + X2 Combine like terms: -1X2 + X2 = 0 0 + -1x2 + 2x3 = 0 + X2 -1x2 + 2x3 = 0 + X2 Remove the zero: -1x2 + 2x3 = X2 Add 'x2' to each side of the equation. -1x2 + x2 + 2x3 = X2 + x2 Combine like terms: -1x2 + x2 = 0 0 + 2x3 = X2 + x2 2x3 = X2 + x2 Add '-2x3' to each side of the equation. 2x3 + -2x3 = X2 + x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = X2 + x2 + -2x3 Simplifying 0 = X2 + x2 + -2x3 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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