(X-4)(x-4)-11(x-4)+18=0

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Solution for (X-4)(x-4)-11(x-4)+18=0 equation:


Simplifying
(X + -4)(x + -4) + -11(x + -4) + 18 = 0

Reorder the terms:
(-4 + X)(x + -4) + -11(x + -4) + 18 = 0

Reorder the terms:
(-4 + X)(-4 + x) + -11(x + -4) + 18 = 0

Multiply (-4 + X) * (-4 + x)
(-4(-4 + x) + X(-4 + x)) + -11(x + -4) + 18 = 0
((-4 * -4 + x * -4) + X(-4 + x)) + -11(x + -4) + 18 = 0
((16 + -4x) + X(-4 + x)) + -11(x + -4) + 18 = 0
(16 + -4x + (-4 * X + x * X)) + -11(x + -4) + 18 = 0
(16 + -4x + (-4X + xX)) + -11(x + -4) + 18 = 0

Reorder the terms:
(16 + -4X + -4x + xX) + -11(x + -4) + 18 = 0
(16 + -4X + -4x + xX) + -11(x + -4) + 18 = 0

Reorder the terms:
16 + -4X + -4x + xX + -11(-4 + x) + 18 = 0
16 + -4X + -4x + xX + (-4 * -11 + x * -11) + 18 = 0
16 + -4X + -4x + xX + (44 + -11x) + 18 = 0

Reorder the terms:
16 + 44 + 18 + -4X + -4x + -11x + xX = 0

Combine like terms: 16 + 44 = 60
60 + 18 + -4X + -4x + -11x + xX = 0

Combine like terms: 60 + 18 = 78
78 + -4X + -4x + -11x + xX = 0

Combine like terms: -4x + -11x = -15x
78 + -4X + -15x + xX = 0

Solving
78 + -4X + -15x + xX = 0

Solving for variable 'X'.

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

Add '-78' to each side of the equation.
78 + -4X + -15x + -78 + xX = 0 + -78

Reorder the terms:
78 + -78 + -4X + -15x + xX = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -4X + -15x + xX = 0 + -78
-4X + -15x + xX = 0 + -78

Combine like terms: 0 + -78 = -78
-4X + -15x + xX = -78

Add '15x' to each side of the equation.
-4X + -15x + 15x + xX = -78 + 15x

Combine like terms: -15x + 15x = 0
-4X + 0 + xX = -78 + 15x
-4X + xX = -78 + 15x

Reorder the terms:
78 + -4X + -15x + xX = -78 + 15x + 78 + -15x

Reorder the terms:
78 + -4X + -15x + xX = -78 + 78 + 15x + -15x

Combine like terms: -78 + 78 = 0
78 + -4X + -15x + xX = 0 + 15x + -15x
78 + -4X + -15x + xX = 15x + -15x

Combine like terms: 15x + -15x = 0
78 + -4X + -15x + xX = 0

The solution to this equation could not be determined.

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