(4r+3d)(4r-3d)=0

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Solution for (4r+3d)(4r-3d)=0 equation: 


Simplifying
(4r + 3d)(4r + -3d) = 0

Reorder the terms:
(3d + 4r)(4r + -3d) = 0

Reorder the terms:
(3d + 4r)(-3d + 4r) = 0

Multiply (3d + 4r) * (-3d + 4r)
(3d * (-3d + 4r) + 4r * (-3d + 4r)) = 0
((-3d * 3d + 4r * 3d) + 4r * (-3d + 4r)) = 0

Reorder the terms:
((12dr + -9d2) + 4r * (-3d + 4r)) = 0
((12dr + -9d2) + 4r * (-3d + 4r)) = 0
(12dr + -9d2 + (-3d * 4r + 4r * 4r)) = 0
(12dr + -9d2 + (-12dr + 16r2)) = 0

Reorder the terms:
(12dr + -12dr + -9d2 + 16r2) = 0

Combine like terms: 12dr + -12dr = 0
(0 + -9d2 + 16r2) = 0
(-9d2 + 16r2) = 0

Solving
-9d2 + 16r2 = 0

Solving for variable 'd'.

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

Add '-16r2' to each side of the equation.
-9d2 + 16r2 + -16r2 = 0 + -16r2

Combine like terms: 16r2 + -16r2 = 0
-9d2 + 0 = 0 + -16r2
-9d2 = 0 + -16r2
Remove the zero:
-9d2 = -16r2

Divide each side by '-9'.
d2 = 1.777777778r2

Simplifying
d2 = 1.777777778r2

Take the square root of each side:
d = {-1.333333333r, 1.333333333r}

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