(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 + x2)) = x2 + cx + d

Combine like terms: 10x + 10x = 20x
(100 + 20x + x2) = x2 + cx + d

Reorder the terms:
100 + 20x + x2 = cx + d + x2

Add '-1x2' to each side of the equation.
100 + 20x + x2 + -1x2 = cx + d + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
100 + 20x + 0 = cx + d + x2 + -1x2
100 + 20x = cx + d + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
100 + 20x = cx + d + 0
100 + 20x = cx + d

Solving
100 + 20x = cx + d

Solving for variable 'x'.

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

Add '-1cx' to each side of the equation.
100 + -1cx + 20x = cx + -1cx + d

Combine like terms: cx + -1cx = 0
100 + -1cx + 20x = 0 + d
100 + -1cx + 20x = d

Add '-100' to each side of the equation.
100 + -1cx + -100 + 20x = -100 + d

Reorder the terms:
100 + -100 + -1cx + 20x = -100 + d

Combine like terms: 100 + -100 = 0
0 + -1cx + 20x = -100 + d
-1cx + 20x = -100 + d

Reorder the terms:
100 + -1cx + -1d + 20x = -100 + d + 100 + -1d

Reorder the terms:
100 + -1cx + -1d + 20x = -100 + 100 + d + -1d

Combine like terms: -100 + 100 = 0
100 + -1cx + -1d + 20x = 0 + d + -1d
100 + -1cx + -1d + 20x = d + -1d

Combine like terms: d + -1d = 0
100 + -1cx + -1d + 20x = 0

The solution to this equation could not be determined.

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