(X-7)(x-7)=x^2+kx+m

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Solution for (X-7)(x-7)=x^2+kx+m equation: 


Simplifying
(X + -7)(x + -7) = x2 + kx + m

Reorder the terms:
(-7 + X)(x + -7) = x2 + kx + m

Reorder the terms:
(-7 + X)(-7 + x) = x2 + kx + m

Multiply (-7 + X) * (-7 + x)
(-7(-7 + x) + X(-7 + x)) = x2 + kx + m
((-7 * -7 + x * -7) + X(-7 + x)) = x2 + kx + m
((49 + -7x) + X(-7 + x)) = x2 + kx + m
(49 + -7x + (-7 * X + x * X)) = x2 + kx + m
(49 + -7x + (-7X + xX)) = x2 + kx + m

Reorder the terms:
(49 + -7X + -7x + xX) = x2 + kx + m
(49 + -7X + -7x + xX) = x2 + kx + m

Reorder the terms:
49 + -7X + -7x + xX = kx + m + x2

Solving
49 + -7X + -7x + xX = kx + m + x2

Solving for variable 'X'.

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

Add '-49' to each side of the equation.
49 + -7X + -7x + -49 + xX = kx + m + -49 + x2

Reorder the terms:
49 + -49 + -7X + -7x + xX = kx + m + -49 + x2

Combine like terms: 49 + -49 = 0
0 + -7X + -7x + xX = kx + m + -49 + x2
-7X + -7x + xX = kx + m + -49 + x2

Reorder the terms:
-7X + -7x + xX = -49 + kx + m + x2

Add '7x' to each side of the equation.
-7X + -7x + 7x + xX = -49 + kx + m + 7x + x2

Combine like terms: -7x + 7x = 0
-7X + 0 + xX = -49 + kx + m + 7x + x2
-7X + xX = -49 + kx + m + 7x + x2

Reorder the terms:
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = -49 + kx + m + 7x + x2 + 49 + -1kx + -1m + -7x + -1x2

Reorder the terms:
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = -49 + 49 + kx + -1kx + m + -1m + 7x + -7x + x2 + -1x2

Combine like terms: -49 + 49 = 0
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = 0 + kx + -1kx + m + -1m + 7x + -7x + x2 + -1x2
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = kx + -1kx + m + -1m + 7x + -7x + x2 + -1x2

Combine like terms: kx + -1kx = 0
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = 0 + m + -1m + 7x + -7x + x2 + -1x2
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = m + -1m + 7x + -7x + x2 + -1x2

Combine like terms: m + -1m = 0
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = 0 + 7x + -7x + x2 + -1x2
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = 0 + x2 + -1x2
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -7X + -1kx + -1m + -7x + xX + -1x2 = 0

The solution to this equation could not be determined.

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