X^2-100=(x+c)(x+d)

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Solution for X^2-100=(x+c)(x+d) equation: 


Simplifying
X2 + -100 = (x + c)(x + d)

Reorder the terms:
-100 + X2 = (x + c)(x + d)

Reorder the terms:
-100 + X2 = (c + x)(x + d)

Reorder the terms:
-100 + X2 = (c + x)(d + x)

Multiply (c + x) * (d + x)
-100 + X2 = (c(d + x) + x(d + x))
-100 + X2 = ((d * c + x * c) + x(d + x))
-100 + X2 = ((cd + cx) + x(d + x))
-100 + X2 = (cd + cx + (d * x + x * x))
-100 + X2 = (cd + cx + (dx + x2))
-100 + X2 = (cd + cx + dx + x2)

Solving
-100 + X2 = cd + cx + dx + 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 + 100 + X2 = cd + cx + dx + 100 + x2

Combine like terms: -100 + 100 = 0
0 + X2 = cd + cx + dx + 100 + x2
X2 = cd + cx + dx + 100 + x2

Reorder the terms:
X2 = 100 + cd + cx + dx + x2

Simplifying
X2 = 100 + cd + cx + dx + x2

Reorder the terms:
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 100 + cd + cx + dx + x2 + -100 + -1cd + -1cx + -1dx + -1x2

Reorder the terms:
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 100 + -100 + cd + -1cd + cx + -1cx + dx + -1dx + x2 + -1x2

Combine like terms: 100 + -100 = 0
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 0 + cd + -1cd + cx + -1cx + dx + -1dx + x2 + -1x2
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = cd + -1cd + cx + -1cx + dx + -1dx + x2 + -1x2

Combine like terms: cd + -1cd = 0
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 0 + cx + -1cx + dx + -1dx + x2 + -1x2
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = cx + -1cx + dx + -1dx + x2 + -1x2

Combine like terms: cx + -1cx = 0
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 0 + dx + -1dx + x2 + -1x2
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = dx + -1dx + x2 + -1x2

Combine like terms: dx + -1dx = 0
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 0 + x2 + -1x2
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-100 + X2 + -1cd + -1cx + -1dx + -1x2 = 0

The solution to this equation could not be determined.

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