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Simplifying
(3c + -9d)(3c + 9d) = 0
Multiply (3c + -9d) * (3c + 9d)
(3c * (3c + 9d) + -9d * (3c + 9d)) = 0
((3c * 3c + 9d * 3c) + -9d * (3c + 9d)) = 0
Reorder the terms:
((27cd + 9c2) + -9d * (3c + 9d)) = 0
((27cd + 9c2) + -9d * (3c + 9d)) = 0
(27cd + 9c2 + (3c * -9d + 9d * -9d)) = 0
(27cd + 9c2 + (-27cd + -81d2)) = 0
Reorder the terms:
(27cd + -27cd + 9c2 + -81d2) = 0
Combine like terms: 27cd + -27cd = 0
(0 + 9c2 + -81d2) = 0
(9c2 + -81d2) = 0
Solving
9c2 + -81d2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '81d2' to each side of the equation.
9c2 + -81d2 + 81d2 = 0 + 81d2
Combine like terms: -81d2 + 81d2 = 0
9c2 + 0 = 0 + 81d2
9c2 = 0 + 81d2
Remove the zero:
9c2 = 81d2
Divide each side by '9'.
c2 = 9d2
Simplifying
c2 = 9d2
Take the square root of each side:
c = {-3d, 3d}
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