30=v(v-7)

Solution for 30=v(v-7) equation:

Simplifying
30 = v(v + -7)

Reorder the terms:
30 = v(-7 + v)
30 = (-7 * v + v * v)
30 = (-7v + v2)

Solving
30 = -7v + v2

Solving for variable 'v'.

Reorder the terms:
30 + 7v + -1v2 = -7v + 7v + v2 + -1v2

Combine like terms: -7v + 7v = 0
30 + 7v + -1v2 = 0 + v2 + -1v2
30 + 7v + -1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
30 + 7v + -1v2 = 0

Factor a trinomial.
(10 + -1v)(3 + 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 '(3 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

Solving
3 + v = 0

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

Add '-3' to each side of the equation.
3 + -3 + v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + v = 0 + -3
v = 0 + -3

Combine like terms: 0 + -3 = -3
v = -3

Simplifying
v = -3
Solution
v = {10, -3}