7d^2+d-8=0

Solution for 7d^2+d-8=0 equation:

Simplifying
7d2 + d + -8 = 0

Reorder the terms:
-8 + d + 7d2 = 0

Solving
-8 + d + 7d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-8 + -7d)(1 + -1d) = 0

Subproblem 1
Set the factor '(-8 + -7d)' equal to zero and attempt to solve:

Simplifying
-8 + -7d = 0

Solving
-8 + -7d = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7d = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7d = 0 + 8
-7d = 0 + 8

Combine like terms: 0 + 8 = 8
-7d = 8

Divide each side by '-7'.
d = -1.142857143

Simplifying
d = -1.142857143
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 = {-1.142857143, 1}