2(4dm-3n+1)-6n(2d-1)+2(2d-1)=

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Solution for 2(4dm-3n+1)-6n(2d-1)+2(2d-1)= equation:


Simplifying
2(4dm + -3n + 1) + -6n(2d + -1) + 2(2d + -1) = 0

Reorder the terms:
2(1 + 4dm + -3n) + -6n(2d + -1) + 2(2d + -1) = 0
(1 * 2 + 4dm * 2 + -3n * 2) + -6n(2d + -1) + 2(2d + -1) = 0
(2 + 8dm + -6n) + -6n(2d + -1) + 2(2d + -1) = 0

Reorder the terms:
2 + 8dm + -6n + -6n(-1 + 2d) + 2(2d + -1) = 0
2 + 8dm + -6n + (-1 * -6n + 2d * -6n) + 2(2d + -1) = 0

Reorder the terms:
2 + 8dm + -6n + (-12dn + 6n) + 2(2d + -1) = 0
2 + 8dm + -6n + (-12dn + 6n) + 2(2d + -1) = 0

Reorder the terms:
2 + 8dm + -6n + -12dn + 6n + 2(-1 + 2d) = 0
2 + 8dm + -6n + -12dn + 6n + (-1 * 2 + 2d * 2) = 0
2 + 8dm + -6n + -12dn + 6n + (-2 + 4d) = 0

Reorder the terms:
2 + -2 + 4d + 8dm + -12dn + -6n + 6n = 0

Combine like terms: 2 + -2 = 0
0 + 4d + 8dm + -12dn + -6n + 6n = 0
4d + 8dm + -12dn + -6n + 6n = 0

Combine like terms: -6n + 6n = 0
4d + 8dm + -12dn + 0 = 0
4d + 8dm + -12dn = 0

Solving
4d + 8dm + -12dn = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '4d'.
4d(1 + 2m + -3n) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0

Subproblem 2

Set the factor '(1 + 2m + -3n)' equal to zero and attempt to solve: Simplifying 1 + 2m + -3n = 0 Solving 1 + 2m + -3n = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2m + -1 + -3n = 0 + -1 Reorder the terms: 1 + -1 + 2m + -3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m + -3n = 0 + -1 2m + -3n = 0 + -1 Combine like terms: 0 + -1 = -1 2m + -3n = -1 Add '-2m' to each side of the equation. 2m + -2m + -3n = -1 + -2m Combine like terms: 2m + -2m = 0 0 + -3n = -1 + -2m -3n = -1 + -2m Add '3n' to each side of the equation. -3n + 3n = -1 + -2m + 3n Combine like terms: -3n + 3n = 0 0 = -1 + -2m + 3n Simplifying 0 = -1 + -2m + 3n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

d = {0}

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