(X-1)(x-1)-7=24

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Solution for (X-1)(x-1)-7=24 equation:


Simplifying
(X + -1)(x + -1) + -7 = 24

Reorder the terms:
(-1 + X)(x + -1) + -7 = 24

Reorder the terms:
(-1 + X)(-1 + x) + -7 = 24

Multiply (-1 + X) * (-1 + x)
(-1(-1 + x) + X(-1 + x)) + -7 = 24
((-1 * -1 + x * -1) + X(-1 + x)) + -7 = 24
((1 + -1x) + X(-1 + x)) + -7 = 24
(1 + -1x + (-1 * X + x * X)) + -7 = 24
(1 + -1x + (-1X + xX)) + -7 = 24

Reorder the terms:
(1 + -1X + -1x + xX) + -7 = 24
(1 + -1X + -1x + xX) + -7 = 24

Reorder the terms:
1 + -7 + -1X + -1x + xX = 24

Combine like terms: 1 + -7 = -6
-6 + -1X + -1x + xX = 24

Solving
-6 + -1X + -1x + xX = 24

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + -1X + -1x + 6 + xX = 24 + 6

Reorder the terms:
-6 + 6 + -1X + -1x + xX = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -1X + -1x + xX = 24 + 6
-1X + -1x + xX = 24 + 6

Combine like terms: 24 + 6 = 30
-1X + -1x + xX = 30

Add 'x' to each side of the equation.
-1X + -1x + x + xX = 30 + x

Combine like terms: -1x + x = 0
-1X + 0 + xX = 30 + x
-1X + xX = 30 + x

Reorder the terms:
-30 + -1X + -1x + xX = 30 + x + -30 + -1x

Reorder the terms:
-30 + -1X + -1x + xX = 30 + -30 + x + -1x

Combine like terms: 30 + -30 = 0
-30 + -1X + -1x + xX = 0 + x + -1x
-30 + -1X + -1x + xX = x + -1x

Combine like terms: x + -1x = 0
-30 + -1X + -1x + xX = 0

The solution to this equation could not be determined.

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