ax+bx=2xab

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Solution for ax+bx=2xab equation:


Simplifying
ax + bx = 2xab

Solving
ax + bx = 2abx

Solving for variable 'a'.

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

Add '-2abx' to each side of the equation.
ax + -2abx + bx = 2abx + -2abx

Reorder the terms:
-2abx + ax + bx = 2abx + -2abx

Combine like terms: 2abx + -2abx = 0
-2abx + ax + bx = 0

Add '-1bx' to each side of the equation.
-2abx + ax + bx + -1bx = 0 + -1bx

Combine like terms: bx + -1bx = 0
-2abx + ax + 0 = 0 + -1bx
-2abx + ax = 0 + -1bx
Remove the zero:
-2abx + ax = -1bx

Combine like terms: -1bx + bx = 0
-2abx + ax + bx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2ab + a + b) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-2ab + a + b)' equal to zero and attempt to solve: Simplifying -2ab + a + b = 0 Reorder the terms: a + -2ab + b = 0 Solving a + -2ab + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + -2ab + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + -2ab + 0 = 0 + -1b a + -2ab = 0 + -1b Remove the zero: a + -2ab = -1b 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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