(x+6)(x+6)=x^2+cx+d

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Solution for (x+6)(x+6)=x^2+cx+d equation:


Simplifying
(x + 6)(x + 6) = x2 + cx + d

Reorder the terms:
(6 + x)(x + 6) = x2 + cx + d

Reorder the terms:
(6 + x)(6 + x) = x2 + cx + d

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = x2 + cx + d
((6 * 6 + x * 6) + x(6 + x)) = x2 + cx + d
((36 + 6x) + x(6 + x)) = x2 + cx + d
(36 + 6x + (6 * x + x * x)) = x2 + cx + d
(36 + 6x + (6x + x2)) = x2 + cx + d

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = x2 + cx + d

Reorder the terms:
36 + 12x + x2 = cx + d + x2

Add '-1x2' to each side of the equation.
36 + 12x + x2 + -1x2 = cx + d + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 12x + 0 = cx + d + x2 + -1x2
36 + 12x = cx + d + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 12x = cx + d + 0
36 + 12x = cx + d

Solving
36 + 12x = 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.
36 + -1cx + 12x = cx + -1cx + d

Combine like terms: cx + -1cx = 0
36 + -1cx + 12x = 0 + d
36 + -1cx + 12x = d

Add '-36' to each side of the equation.
36 + -1cx + -36 + 12x = -36 + d

Reorder the terms:
36 + -36 + -1cx + 12x = -36 + d

Combine like terms: 36 + -36 = 0
0 + -1cx + 12x = -36 + d
-1cx + 12x = -36 + d

Reorder the terms:
36 + -1cx + -1d + 12x = -36 + d + 36 + -1d

Reorder the terms:
36 + -1cx + -1d + 12x = -36 + 36 + d + -1d

Combine like terms: -36 + 36 = 0
36 + -1cx + -1d + 12x = 0 + d + -1d
36 + -1cx + -1d + 12x = d + -1d

Combine like terms: d + -1d = 0
36 + -1cx + -1d + 12x = 0

The solution to this equation could not be determined.

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