(X-5)(x-1)=-10

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Solution for (X-5)(x-1)=-10 equation:


Simplifying
(X + -5)(x + -1) = -10

Reorder the terms:
(-5 + X)(x + -1) = -10

Reorder the terms:
(-5 + X)(-1 + x) = -10

Multiply (-5 + X) * (-1 + x)
(-5(-1 + x) + X(-1 + x)) = -10
((-1 * -5 + x * -5) + X(-1 + x)) = -10
((5 + -5x) + X(-1 + x)) = -10
(5 + -5x + (-1 * X + x * X)) = -10
(5 + -5x + (-1X + xX)) = -10

Reorder the terms:
(5 + -1X + -5x + xX) = -10
(5 + -1X + -5x + xX) = -10

Solving
5 + -1X + -5x + xX = -10

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -1X + -5x + -5 + xX = -10 + -5

Reorder the terms:
5 + -5 + -1X + -5x + xX = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -1X + -5x + xX = -10 + -5
-1X + -5x + xX = -10 + -5

Combine like terms: -10 + -5 = -15
-1X + -5x + xX = -15

Add '5x' to each side of the equation.
-1X + -5x + 5x + xX = -15 + 5x

Combine like terms: -5x + 5x = 0
-1X + 0 + xX = -15 + 5x
-1X + xX = -15 + 5x

Reorder the terms:
15 + -1X + -5x + xX = -15 + 5x + 15 + -5x

Reorder the terms:
15 + -1X + -5x + xX = -15 + 15 + 5x + -5x

Combine like terms: -15 + 15 = 0
15 + -1X + -5x + xX = 0 + 5x + -5x
15 + -1X + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -1X + -5x + xX = 0

The solution to this equation could not be determined.

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