(3-d)(3+d)+9+(3+d)(3-d)=77

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Solution for (3-d)(3+d)+9+(3+d)(3-d)=77 equation: 


Simplifying
(3 + -1d)(3 + d) + 9 + (3 + d)(3 + -1d) = 77

Multiply (3 + -1d) * (3 + d)
(3(3 + d) + -1d * (3 + d)) + 9 + (3 + d)(3 + -1d) = 77
((3 * 3 + d * 3) + -1d * (3 + d)) + 9 + (3 + d)(3 + -1d) = 77
((9 + 3d) + -1d * (3 + d)) + 9 + (3 + d)(3 + -1d) = 77
(9 + 3d + (3 * -1d + d * -1d)) + 9 + (3 + d)(3 + -1d) = 77
(9 + 3d + (-3d + -1d2)) + 9 + (3 + d)(3 + -1d) = 77

Combine like terms: 3d + -3d = 0
(9 + 0 + -1d2) + 9 + (3 + d)(3 + -1d) = 77
(9 + -1d2) + 9 + (3 + d)(3 + -1d) = 77

Multiply (3 + d) * (3 + -1d)
9 + -1d2 + 9 + (3(3 + -1d) + d(3 + -1d)) = 77
9 + -1d2 + 9 + ((3 * 3 + -1d * 3) + d(3 + -1d)) = 77
9 + -1d2 + 9 + ((9 + -3d) + d(3 + -1d)) = 77
9 + -1d2 + 9 + (9 + -3d + (3 * d + -1d * d)) = 77
9 + -1d2 + 9 + (9 + -3d + (3d + -1d2)) = 77

Combine like terms: -3d + 3d = 0
9 + -1d2 + 9 + (9 + 0 + -1d2) = 77
9 + -1d2 + 9 + (9 + -1d2) = 77

Reorder the terms:
9 + 9 + 9 + -1d2 + -1d2 = 77

Combine like terms: 9 + 9 = 18
18 + 9 + -1d2 + -1d2 = 77

Combine like terms: 18 + 9 = 27
27 + -1d2 + -1d2 = 77

Combine like terms: -1d2 + -1d2 = -2d2
27 + -2d2 = 77

Solving
27 + -2d2 = 77

Solving for variable 'd'.

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

Add '-27' to each side of the equation.
27 + -27 + -2d2 = 77 + -27

Combine like terms: 27 + -27 = 0
0 + -2d2 = 77 + -27
-2d2 = 77 + -27

Combine like terms: 77 + -27 = 50
-2d2 = 50

Divide each side by '-2'.
d2 = -25

Simplifying
d2 = -25

Reorder the terms:
25 + d2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + d2 = 0

The solution to this equation could not be determined.

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