d^2+7d-588=0

Solution for d^2+7d-588=0 equation:

Simplifying
d2 + 7d + -588 = 0

Reorder the terms:
-588 + 7d + d2 = 0

Solving
-588 + 7d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-28 + -1d)(21 + -1d) = 0

Subproblem 1
Set the factor '(-28 + -1d)' equal to zero and attempt to solve:

Simplifying
-28 + -1d = 0

Solving
-28 + -1d = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1d = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1d = 0 + 28
-1d = 0 + 28

Combine like terms: 0 + 28 = 28
-1d = 28

Divide each side by '-1'.
d = -28

Simplifying
d = -28
Subproblem 2
Set the factor '(21 + -1d)' equal to zero and attempt to solve:

Simplifying
21 + -1d = 0

Solving
21 + -1d = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1d = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1d = 0 + -21
-1d = 0 + -21

Combine like terms: 0 + -21 = -21
-1d = -21

Divide each side by '-1'.
d = 21

Simplifying
d = 21
Solution
d = {-28, 21}