(X-4)(x-4)=x^2+Rx+t

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Solution for (X-4)(x-4)=x^2+Rx+t equation: 


Simplifying
(X + -4)(x + -4) = x2 + Rx + t

Reorder the terms:
(-4 + X)(x + -4) = x2 + Rx + t

Reorder the terms:
(-4 + X)(-4 + x) = x2 + Rx + t

Multiply (-4 + X) * (-4 + x)
(-4(-4 + x) + X(-4 + x)) = x2 + Rx + t
((-4 * -4 + x * -4) + X(-4 + x)) = x2 + Rx + t
((16 + -4x) + X(-4 + x)) = x2 + Rx + t
(16 + -4x + (-4 * X + x * X)) = x2 + Rx + t
(16 + -4x + (-4X + xX)) = x2 + Rx + t

Reorder the terms:
(16 + -4X + -4x + xX) = x2 + Rx + t
(16 + -4X + -4x + xX) = x2 + Rx + t

Reorder the terms:
16 + -4X + -4x + xX = t + xR + x2

Solving
16 + -4X + -4x + xX = t + xR + x2

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + -4X + -4x + -16 + xX = t + xR + -16 + x2

Reorder the terms:
16 + -16 + -4X + -4x + xX = t + xR + -16 + x2

Combine like terms: 16 + -16 = 0
0 + -4X + -4x + xX = t + xR + -16 + x2
-4X + -4x + xX = t + xR + -16 + x2

Reorder the terms:
-4X + -4x + xX = -16 + t + xR + x2

Add '4x' to each side of the equation.
-4X + -4x + 4x + xX = -16 + t + xR + 4x + x2

Combine like terms: -4x + 4x = 0
-4X + 0 + xX = -16 + t + xR + 4x + x2
-4X + xX = -16 + t + xR + 4x + x2

Reorder the terms:
-4X + xX = -16 + t + 4x + xR + x2

Reorder the terms:
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = -16 + t + 4x + xR + x2 + 16 + -1t + -4x + -1xR + -1x2

Reorder the terms:
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = -16 + 16 + t + -1t + 4x + -4x + xR + -1xR + x2 + -1x2

Combine like terms: -16 + 16 = 0
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = 0 + t + -1t + 4x + -4x + xR + -1xR + x2 + -1x2
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = t + -1t + 4x + -4x + xR + -1xR + x2 + -1x2

Combine like terms: t + -1t = 0
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = 0 + 4x + -4x + xR + -1xR + x2 + -1x2
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = 4x + -4x + xR + -1xR + x2 + -1x2

Combine like terms: 4x + -4x = 0
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = 0 + xR + -1xR + x2 + -1x2
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = xR + -1xR + x2 + -1x2

Combine like terms: xR + -1xR = 0
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = 0 + x2 + -1x2
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -4X + -1t + -4x + -1xR + xX + -1x2 = 0

The solution to this equation could not be determined.

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