2-x=4yx+21

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Solution for 2-x=4yx+21 equation:


Simplifying
2 + -1x = 4yx + 21

Reorder the terms:
2 + -1x = 21 + 4xy

Solving
2 + -1x = 21 + 4xy

Solving for variable 'x'.

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

Add '-4xy' to each side of the equation.
2 + -1x + -4xy = 21 + 4xy + -4xy

Combine like terms: 4xy + -4xy = 0
2 + -1x + -4xy = 21 + 0
2 + -1x + -4xy = 21

Add '-2' to each side of the equation.
2 + -1x + -2 + -4xy = 21 + -2

Reorder the terms:
2 + -2 + -1x + -4xy = 21 + -2

Combine like terms: 2 + -2 = 0
0 + -1x + -4xy = 21 + -2
-1x + -4xy = 21 + -2

Combine like terms: 21 + -2 = 19
-1x + -4xy = 19

Reorder the terms:
-19 + -1x + -4xy = 19 + -19

Combine like terms: 19 + -19 = 0
-19 + -1x + -4xy = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(19 + x + 4xy) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(19 + x + 4xy)' equal to zero and attempt to solve: Simplifying 19 + x + 4xy = 0 Solving 19 + x + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + x + -19 + 4xy = 0 + -19 Reorder the terms: 19 + -19 + x + 4xy = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x + 4xy = 0 + -19 x + 4xy = 0 + -19 Combine like terms: 0 + -19 = -19 x + 4xy = -19 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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