(6r+5d)(6r-5d)=

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Solution for (6r+5d)(6r-5d)= equation: 


Simplifying
(6r + 5d)(6r + -5d) = 0

Reorder the terms:
(5d + 6r)(6r + -5d) = 0

Reorder the terms:
(5d + 6r)(-5d + 6r) = 0

Multiply (5d + 6r) * (-5d + 6r)
(5d * (-5d + 6r) + 6r * (-5d + 6r)) = 0
((-5d * 5d + 6r * 5d) + 6r * (-5d + 6r)) = 0

Reorder the terms:
((30dr + -25d2) + 6r * (-5d + 6r)) = 0
((30dr + -25d2) + 6r * (-5d + 6r)) = 0
(30dr + -25d2 + (-5d * 6r + 6r * 6r)) = 0
(30dr + -25d2 + (-30dr + 36r2)) = 0

Reorder the terms:
(30dr + -30dr + -25d2 + 36r2) = 0

Combine like terms: 30dr + -30dr = 0
(0 + -25d2 + 36r2) = 0
(-25d2 + 36r2) = 0

Solving
-25d2 + 36r2 = 0

Solving for variable 'd'.

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

Add '-36r2' to each side of the equation.
-25d2 + 36r2 + -36r2 = 0 + -36r2

Combine like terms: 36r2 + -36r2 = 0
-25d2 + 0 = 0 + -36r2
-25d2 = 0 + -36r2
Remove the zero:
-25d2 = -36r2

Divide each side by '-25'.
d2 = 1.44r2

Simplifying
d2 = 1.44r2

Take the square root of each side:
d = {-1.2r, 1.2r}

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