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Simplifying
(c + d)(c + -1d) = 0
Multiply (c + d) * (c + -1d)
(c(c + -1d) + d(c + -1d)) = 0
((c * c + -1d * c) + d(c + -1d)) = 0
Reorder the terms:
((-1cd + c2) + d(c + -1d)) = 0
((-1cd + c2) + d(c + -1d)) = 0
(-1cd + c2 + (c * d + -1d * d)) = 0
(-1cd + c2 + (cd + -1d2)) = 0
Reorder the terms:
(-1cd + cd + c2 + -1d2) = 0
Combine like terms: -1cd + cd = 0
(0 + c2 + -1d2) = 0
(c2 + -1d2) = 0
Solving
c2 + -1d2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'd2' to each side of the equation.
c2 + -1d2 + d2 = 0 + d2
Combine like terms: -1d2 + d2 = 0
c2 + 0 = 0 + d2
c2 = 0 + d2
Remove the zero:
c2 = d2
Simplifying
c2 = d2
Take the square root of each side:
c = {-1d, d}
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