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Simplifying
(7c + 2d)(7c + -2d) = 0
Multiply (7c + 2d) * (7c + -2d)
(7c * (7c + -2d) + 2d * (7c + -2d)) = 0
((7c * 7c + -2d * 7c) + 2d * (7c + -2d)) = 0
Reorder the terms:
((-14cd + 49c2) + 2d * (7c + -2d)) = 0
((-14cd + 49c2) + 2d * (7c + -2d)) = 0
(-14cd + 49c2 + (7c * 2d + -2d * 2d)) = 0
(-14cd + 49c2 + (14cd + -4d2)) = 0
Reorder the terms:
(-14cd + 14cd + 49c2 + -4d2) = 0
Combine like terms: -14cd + 14cd = 0
(0 + 49c2 + -4d2) = 0
(49c2 + -4d2) = 0
Solving
49c2 + -4d2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '4d2' to each side of the equation.
49c2 + -4d2 + 4d2 = 0 + 4d2
Combine like terms: -4d2 + 4d2 = 0
49c2 + 0 = 0 + 4d2
49c2 = 0 + 4d2
Remove the zero:
49c2 = 4d2
Divide each side by '49'.
c2 = 0.08163265306d2
Simplifying
c2 = 0.08163265306d2
Take the square root of each side:
c = {-0.285714286d, 0.285714286d}
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