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

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


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

Reorder the terms:
(-5 + a)(b + -5) = x

Reorder the terms:
(-5 + a)(-5 + b) = x

Multiply (-5 + a) * (-5 + b)
(-5(-5 + b) + a(-5 + b)) = x
((-5 * -5 + b * -5) + a(-5 + b)) = x
((25 + -5b) + a(-5 + b)) = x
(25 + -5b + (-5 * a + b * a)) = x
(25 + -5b + (-5a + ab)) = x

Reorder the terms:
(25 + -5a + ab + -5b) = x
(25 + -5a + ab + -5b) = x

Solving
25 + -5a + ab + -5b = x

Solving for variable 'a'.

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

Add '-25' to each side of the equation.
25 + -5a + ab + -25 + -5b = -25 + x

Reorder the terms:
25 + -25 + -5a + ab + -5b = -25 + x

Combine like terms: 25 + -25 = 0
0 + -5a + ab + -5b = -25 + x
-5a + ab + -5b = -25 + x

Add '5b' to each side of the equation.
-5a + ab + -5b + 5b = -25 + 5b + x

Combine like terms: -5b + 5b = 0
-5a + ab + 0 = -25 + 5b + x
-5a + ab = -25 + 5b + x

Reorder the terms:
25 + -5a + ab + -5b + -1x = -25 + 5b + x + 25 + -5b + -1x

Reorder the terms:
25 + -5a + ab + -5b + -1x = -25 + 25 + 5b + -5b + x + -1x

Combine like terms: -25 + 25 = 0
25 + -5a + ab + -5b + -1x = 0 + 5b + -5b + x + -1x
25 + -5a + ab + -5b + -1x = 5b + -5b + x + -1x

Combine like terms: 5b + -5b = 0
25 + -5a + ab + -5b + -1x = 0 + x + -1x
25 + -5a + ab + -5b + -1x = x + -1x

Combine like terms: x + -1x = 0
25 + -5a + ab + -5b + -1x = 0

The solution to this equation could not be determined.

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