10a(x-5)-5b(x-5)=

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Solution for 10a(x-5)-5b(x-5)= equation: 


Simplifying
10a(x + -5) + -5b(x + -5) = 0

Reorder the terms:
10a(-5 + x) + -5b(x + -5) = 0
(-5 * 10a + x * 10a) + -5b(x + -5) = 0
(-50a + 10ax) + -5b(x + -5) = 0

Reorder the terms:
-50a + 10ax + -5b(-5 + x) = 0
-50a + 10ax + (-5 * -5b + x * -5b) = 0
-50a + 10ax + (25b + -5bx) = 0

Solving
-50a + 10ax + 25b + -5bx = 0

Solving for variable 'a'.

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

Add '-25b' to each side of the equation.
-50a + 10ax + 25b + -25b + -5bx = 0 + -25b

Combine like terms: 25b + -25b = 0
-50a + 10ax + 0 + -5bx = 0 + -25b
-50a + 10ax + -5bx = 0 + -25b
Remove the zero:
-50a + 10ax + -5bx = -25b

Add '5bx' to each side of the equation.
-50a + 10ax + -5bx + 5bx = -25b + 5bx

Combine like terms: -5bx + 5bx = 0
-50a + 10ax + 0 = -25b + 5bx
-50a + 10ax = -25b + 5bx

Reorder the terms:
-50a + 10ax + 25b + -5bx = -25b + 25b + 5bx + -5bx

Combine like terms: -25b + 25b = 0
-50a + 10ax + 25b + -5bx = 0 + 5bx + -5bx
-50a + 10ax + 25b + -5bx = 5bx + -5bx

Combine like terms: 5bx + -5bx = 0
-50a + 10ax + 25b + -5bx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10a + 2ax + 5b + -1bx) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10a + 2ax + 5b + -1bx)' equal to zero and attempt to solve:

Simplifying
-10a + 2ax + 5b + -1bx = 0

Solving
-10a + 2ax + 5b + -1bx = 0

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

Add '-5b' to each side of the equation.
-10a + 2ax + 5b + -5b + -1bx = 0 + -5b

Combine like terms: 5b + -5b = 0
-10a + 2ax + 0 + -1bx = 0 + -5b
-10a + 2ax + -1bx = 0 + -5b
Remove the zero:
-10a + 2ax + -1bx = -5b

Add 'bx' to each side of the equation.
-10a + 2ax + -1bx + bx = -5b + bx

Combine like terms: -1bx + bx = 0
-10a + 2ax + 0 = -5b + bx
-10a + 2ax = -5b + bx

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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