(X-3)(x-7)=10

Solution for (X-3)(x-7)=10 equation:

Simplifying
(X + -3)(x + -7) = 10

Reorder the terms:
(-3 + X)(x + -7) = 10

Reorder the terms:
(-3 + X)(-7 + x) = 10

Multiply (-3 + X) * (-7 + x)
(-3(-7 + x) + X(-7 + x)) = 10
((-7 * -3 + x * -3) + X(-7 + x)) = 10
((21 + -3x) + X(-7 + x)) = 10
(21 + -3x + (-7 * X + x * X)) = 10
(21 + -3x + (-7X + xX)) = 10

Reorder the terms:
(21 + -7X + -3x + xX) = 10
(21 + -7X + -3x + xX) = 10

Solving
21 + -7X + -3x + xX = 10

Solving for variable 'X'.

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

Add '-21' to each side of the equation.
21 + -7X + -3x + -21 + xX = 10 + -21

Reorder the terms:
21 + -21 + -7X + -3x + xX = 10 + -21

Combine like terms: 21 + -21 = 0
0 + -7X + -3x + xX = 10 + -21
-7X + -3x + xX = 10 + -21

Combine like terms: 10 + -21 = -11
-7X + -3x + xX = -11

Add '3x' to each side of the equation.
-7X + -3x + 3x + xX = -11 + 3x

Combine like terms: -3x + 3x = 0
-7X + 0 + xX = -11 + 3x
-7X + xX = -11 + 3x

Reorder the terms:
11 + -7X + -3x + xX = -11 + 3x + 11 + -3x

Reorder the terms:
11 + -7X + -3x + xX = -11 + 11 + 3x + -3x

Combine like terms: -11 + 11 = 0
11 + -7X + -3x + xX = 0 + 3x + -3x
11 + -7X + -3x + xX = 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -7X + -3x + xX = 0

The solution to this equation could not be determined.