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

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

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

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

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

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

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

Combine like terms: 6x + -6x = 0
cx + d + x2 = (-36 + 0 + x2)
cx + d + x2 = (-36 + x2)

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

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

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

Solving
cx + d = -36

Solving for variable 'c'.

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

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

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

Divide each side by 'x'.
c = -36x-1 + -1dx-1

Simplifying
c = -36x-1 + -1dx-1

Reorder the terms:
c = -1dx-1 + -36x-1