(X-7)(x-7)-11(x-7)+28=0

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Solution for (X-7)(x-7)-11(x-7)+28=0 equation: 


Simplifying
(X + -7)(x + -7) + -11(x + -7) + 28 = 0

Reorder the terms:
(-7 + X)(x + -7) + -11(x + -7) + 28 = 0

Reorder the terms:
(-7 + X)(-7 + x) + -11(x + -7) + 28 = 0

Multiply (-7 + X) * (-7 + x)
(-7(-7 + x) + X(-7 + x)) + -11(x + -7) + 28 = 0
((-7 * -7 + x * -7) + X(-7 + x)) + -11(x + -7) + 28 = 0
((49 + -7x) + X(-7 + x)) + -11(x + -7) + 28 = 0
(49 + -7x + (-7 * X + x * X)) + -11(x + -7) + 28 = 0
(49 + -7x + (-7X + xX)) + -11(x + -7) + 28 = 0

Reorder the terms:
(49 + -7X + -7x + xX) + -11(x + -7) + 28 = 0
(49 + -7X + -7x + xX) + -11(x + -7) + 28 = 0

Reorder the terms:
49 + -7X + -7x + xX + -11(-7 + x) + 28 = 0
49 + -7X + -7x + xX + (-7 * -11 + x * -11) + 28 = 0
49 + -7X + -7x + xX + (77 + -11x) + 28 = 0

Reorder the terms:
49 + 77 + 28 + -7X + -7x + -11x + xX = 0

Combine like terms: 49 + 77 = 126
126 + 28 + -7X + -7x + -11x + xX = 0

Combine like terms: 126 + 28 = 154
154 + -7X + -7x + -11x + xX = 0

Combine like terms: -7x + -11x = -18x
154 + -7X + -18x + xX = 0

Solving
154 + -7X + -18x + xX = 0

Solving for variable 'X'.

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

Add '-154' to each side of the equation.
154 + -7X + -18x + -154 + xX = 0 + -154

Reorder the terms:
154 + -154 + -7X + -18x + xX = 0 + -154

Combine like terms: 154 + -154 = 0
0 + -7X + -18x + xX = 0 + -154
-7X + -18x + xX = 0 + -154

Combine like terms: 0 + -154 = -154
-7X + -18x + xX = -154

Add '18x' to each side of the equation.
-7X + -18x + 18x + xX = -154 + 18x

Combine like terms: -18x + 18x = 0
-7X + 0 + xX = -154 + 18x
-7X + xX = -154 + 18x

Reorder the terms:
154 + -7X + -18x + xX = -154 + 18x + 154 + -18x

Reorder the terms:
154 + -7X + -18x + xX = -154 + 154 + 18x + -18x

Combine like terms: -154 + 154 = 0
154 + -7X + -18x + xX = 0 + 18x + -18x
154 + -7X + -18x + xX = 18x + -18x

Combine like terms: 18x + -18x = 0
154 + -7X + -18x + xX = 0

The solution to this equation could not be determined.

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