10d^2+3d-7=

Solution for 10d^2+3d-7= equation:

Simplifying
10d2 + 3d + -7 = 0

Reorder the terms:
-7 + 3d + 10d2 = 0

Solving
-7 + 3d + 10d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -1d)(7 + -10d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -10d)' equal to zero and attempt to solve:

Simplifying
7 + -10d = 0

Solving
7 + -10d = 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 + -10d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -10d = 0 + -7
-10d = 0 + -7

Combine like terms: 0 + -7 = -7
-10d = -7

Divide each side by '-10'.
d = 0.7

Simplifying
d = 0.7
Solution
d = {-1, 0.7}