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Simplifying
(6c + -7d)(6c + 7d) = 0
Multiply (6c + -7d) * (6c + 7d)
(6c * (6c + 7d) + -7d * (6c + 7d)) = 0
((6c * 6c + 7d * 6c) + -7d * (6c + 7d)) = 0
Reorder the terms:
((42cd + 36c2) + -7d * (6c + 7d)) = 0
((42cd + 36c2) + -7d * (6c + 7d)) = 0
(42cd + 36c2 + (6c * -7d + 7d * -7d)) = 0
(42cd + 36c2 + (-42cd + -49d2)) = 0
Reorder the terms:
(42cd + -42cd + 36c2 + -49d2) = 0
Combine like terms: 42cd + -42cd = 0
(0 + 36c2 + -49d2) = 0
(36c2 + -49d2) = 0
Solving
36c2 + -49d2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '49d2' to each side of the equation.
36c2 + -49d2 + 49d2 = 0 + 49d2
Combine like terms: -49d2 + 49d2 = 0
36c2 + 0 = 0 + 49d2
36c2 = 0 + 49d2
Remove the zero:
36c2 = 49d2
Divide each side by '36'.
c2 = 1.361111111d2
Simplifying
c2 = 1.361111111d2
Take the square root of each side:
c = {-1.166666667d, 1.166666667d}
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