d^2+5d-35=3d

Solution for d^2+5d-35=3d equation:

Simplifying
d2 + 5d + -35 = 3d

Reorder the terms:
-35 + 5d + d2 = 3d

Solving
-35 + 5d + d2 = 3d

Solving for variable 'd'.

Reorder the terms:
-35 + 5d + -3d + d2 = 3d + -3d

Combine like terms: 5d + -3d = 2d
-35 + 2d + d2 = 3d + -3d

Combine like terms: 3d + -3d = 0
-35 + 2d + d2 = 0

Factor a trinomial.
(-7 + -1d)(5 + -1d) = 0

Subproblem 1
Set the factor '(-7 + -1d)' equal to zero and attempt to solve:

Simplifying
-7 + -1d = 0

Solving
-7 + -1d = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1d = 0 + 7
-1d = 0 + 7

Combine like terms: 0 + 7 = 7
-1d = 7

Divide each side by '-1'.
d = -7

Simplifying
d = -7
Subproblem 2
Set the factor '(5 + -1d)' equal to zero and attempt to solve:

Simplifying
5 + -1d = 0

Solving
5 + -1d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1d = 0 + -5
-1d = 0 + -5

Combine like terms: 0 + -5 = -5
-1d = -5

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Solution
d = {-7, 5}