(d+2)(d+6)-d(d+3)=37

Solution for (d+2)(d+6)-d(d+3)=37 equation:

Simplifying
(d + 2)(d + 6) + -1d(d + 3) = 37

Reorder the terms:
(2 + d)(d + 6) + -1d(d + 3) = 37

Reorder the terms:
(2 + d)(6 + d) + -1d(d + 3) = 37

Multiply (2 + d) * (6 + d)
(2(6 + d) + d(6 + d)) + -1d(d + 3) = 37
((6 * 2 + d * 2) + d(6 + d)) + -1d(d + 3) = 37
((12 + 2d) + d(6 + d)) + -1d(d + 3) = 37
(12 + 2d + (6 * d + d * d)) + -1d(d + 3) = 37
(12 + 2d + (6d + d2)) + -1d(d + 3) = 37

Combine like terms: 2d + 6d = 8d
(12 + 8d + d2) + -1d(d + 3) = 37

Reorder the terms:
12 + 8d + d2 + -1d(3 + d) = 37
12 + 8d + d2 + (3 * -1d + d * -1d) = 37
12 + 8d + d2 + (-3d + -1d2) = 37

Reorder the terms:
12 + 8d + -3d + d2 + -1d2 = 37

Combine like terms: 8d + -3d = 5d
12 + 5d + d2 + -1d2 = 37

Combine like terms: d2 + -1d2 = 0
12 + 5d + 0 = 37
12 + 5d = 37

Solving
12 + 5d = 37

Solving for variable 'd'.

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

Add '-12' to each side of the equation.
12 + -12 + 5d = 37 + -12

Combine like terms: 12 + -12 = 0
0 + 5d = 37 + -12
5d = 37 + -12

Combine like terms: 37 + -12 = 25
5d = 25

Divide each side by '5'.
d = 5

Simplifying
d = 5