3.5X=(10-b)X

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Solution for 3.5X=(10-b)X equation: 


Simplifying
3.5X = (10 + -1b) * X

Reorder the terms for easier multiplication:
3.5X = X(10 + -1b)
3.5X = (10 * X + -1b * X)
3.5X = (10X + -1bX)

Solving
3.5X = 10X + -1bX

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
3.5X + -10X = 10X + -10X + -1bX

Combine like terms: 3.5X + -10X = -6.5X
-6.5X = 10X + -10X + -1bX

Combine like terms: 10X + -10X = 0
-6.5X = 0 + -1bX
-6.5X = -1bX

Add 'bX' to each side of the equation.
-6.5X + bX = -1bX + bX

Combine like terms: -1bX + bX = 0
-6.5X + bX = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(-6.5 + 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 X to the left, all other terms to the right.

Simplifying
X = 0

Subproblem 2
Set the factor '(-6.5 + b)' equal to zero and attempt to solve:

Simplifying
-6.5 + b = 0

Solving
-6.5 + b = 0

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

Add '6.5' to each side of the equation.
-6.5 + 6.5 + b = 0 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + b = 0 + 6.5
b = 0 + 6.5

Combine like terms: 0 + 6.5 = 6.5
b = 6.5

Add '-1b' to each side of the equation.
b + -1b = 6.5 + -1b

Combine like terms: b + -1b = 0
0 = 6.5 + -1b

Simplifying
0 = 6.5 + -1b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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