(X+10)(x+10)=(x^2)+cx+d

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Solution for (X+10)(x+10)=(x^2)+cx+d equation: 


Simplifying
(X + 10)(x + 10) = (x2) + cx + d

Reorder the terms:
(10 + X)(x + 10) = (x2) + cx + d

Reorder the terms:
(10 + X)(10 + x) = (x2) + cx + d

Multiply (10 + X) * (10 + x)
(10(10 + x) + X(10 + x)) = (x2) + cx + d
((10 * 10 + x * 10) + X(10 + x)) = (x2) + cx + d
((100 + 10x) + X(10 + x)) = (x2) + cx + d
(100 + 10x + (10 * X + x * X)) = (x2) + cx + d
(100 + 10x + (10X + xX)) = (x2) + cx + d

Reorder the terms:
(100 + 10X + 10x + xX) = (x2) + cx + d
(100 + 10X + 10x + xX) = (x2) + cx + d
100 + 10X + 10x + xX = x2 + cx + d

Reorder the terms:
100 + 10X + 10x + xX = cx + d + x2

Solving
100 + 10X + 10x + xX = cx + d + x2

Solving for variable 'X'.

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

Add '-100' to each side of the equation.
100 + 10X + 10x + -100 + xX = cx + d + -100 + x2

Reorder the terms:
100 + -100 + 10X + 10x + xX = cx + d + -100 + x2

Combine like terms: 100 + -100 = 0
0 + 10X + 10x + xX = cx + d + -100 + x2
10X + 10x + xX = cx + d + -100 + x2

Reorder the terms:
10X + 10x + xX = -100 + cx + d + x2

Add '-10x' to each side of the equation.
10X + 10x + -10x + xX = -100 + cx + d + -10x + x2

Combine like terms: 10x + -10x = 0
10X + 0 + xX = -100 + cx + d + -10x + x2
10X + xX = -100 + cx + d + -10x + x2

Reorder the terms:
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = -100 + cx + d + -10x + x2 + 100 + -1cx + -1d + 10x + -1x2

Reorder the terms:
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = -100 + 100 + cx + -1cx + d + -1d + -10x + 10x + x2 + -1x2

Combine like terms: -100 + 100 = 0
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = 0 + cx + -1cx + d + -1d + -10x + 10x + x2 + -1x2
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = cx + -1cx + d + -1d + -10x + 10x + x2 + -1x2

Combine like terms: cx + -1cx = 0
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = 0 + d + -1d + -10x + 10x + x2 + -1x2
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = d + -1d + -10x + 10x + x2 + -1x2

Combine like terms: d + -1d = 0
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = 0 + -10x + 10x + x2 + -1x2
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = 0 + x2 + -1x2
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
100 + 10X + -1cx + -1d + 10x + xX + -1x2 = 0

The solution to this equation could not be determined.

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