d^2+d-7=-5

Solution for d^2+d-7=-5 equation:

Simplifying
d2 + d + -7 = -5

Reorder the terms:
-7 + d + d2 = -5

Solving
-7 + d + d2 = -5

Solving for variable 'd'.

Reorder the terms:
-7 + 5 + d + d2 = -5 + 5

Combine like terms: -7 + 5 = -2
-2 + d + d2 = -5 + 5

Combine like terms: -5 + 5 = 0
-2 + d + d2 = 0

Factor a trinomial.
(-2 + -1d)(1 + -1d) = 0

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

Simplifying
-2 + -1d = 0

Solving
-2 + -1d = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1d = 0 + 2
-1d = 0 + 2

Combine like terms: 0 + 2 = 2
-1d = 2

Divide each side by '-1'.
d = -2

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

Simplifying
1 + -1d = 0

Solving
1 + -1d = 0

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

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

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

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

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

Simplifying
d = 1
Solution
d = {-2, 1}