10=v(v-9)

Solution for 10=v(v-9) equation:

Simplifying
10 = v(v + -9)

Reorder the terms:
10 = v(-9 + v)
10 = (-9 * v + v * v)
10 = (-9v + v2)

Solving
10 = -9v + v2

Solving for variable 'v'.

Reorder the terms:
10 + 9v + -1v2 = -9v + 9v + v2 + -1v2

Combine like terms: -9v + 9v = 0
10 + 9v + -1v2 = 0 + v2 + -1v2
10 + 9v + -1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
10 + 9v + -1v2 = 0

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

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

Simplifying
10 + -1v = 0

Solving
10 + -1v = 0

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

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

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

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

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

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

Simplifying
1 + v = 0

Solving
1 + v = 0

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

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

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

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

Simplifying
v = -1
Solution
v = {10, -1}