d^2-3d=70

Solution for d^2-3d=70 equation:

Simplifying
d2 + -3d = 70

Reorder the terms:
-3d + d2 = 70

Solving
-3d + d2 = 70

Solving for variable 'd'.

Reorder the terms:
-70 + -3d + d2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + -3d + d2 = 0

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

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

Simplifying
-7 + -1d = 0

Solving
-7 + -1d = 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 + -1d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1d = 0 + 7
-1d = 0 + 7

Combine like terms: 0 + 7 = 7
-1d = 7

Divide each side by '-1'.
d = -7

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

Simplifying
10 + -1d = 0

Solving
10 + -1d = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1d = 0 + -10
-1d = 0 + -10

Combine like terms: 0 + -10 = -10
-1d = -10

Divide each side by '-1'.
d = 10

Simplifying
d = 10
Solution
d = {-7, 10}