2d^2-5d=7

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

Simplifying
2d2 + -5d = 7

Reorder the terms:
-5d + 2d2 = 7

Solving
-5d + 2d2 = 7

Solving for variable 'd'.

Reorder the terms:
-7 + -5d + 2d2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -5d + 2d2 = 0

Factor a trinomial.
(-1 + -1d)(7 + -2d) = 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 + -2d)' equal to zero and attempt to solve:

Simplifying
7 + -2d = 0

Solving
7 + -2d = 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 + -2d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2d = 0 + -7
-2d = 0 + -7

Combine like terms: 0 + -7 = -7
-2d = -7

Divide each side by '-2'.
d = 3.5

Simplifying
d = 3.5
Solution
d = {-1, 3.5}