30=x(x+7)

Solution for 30=x(x+7) equation:

Simplifying
30 = x(x + 7)

Reorder the terms:
30 = x(7 + x)
30 = (7 * x + x * x)
30 = (7x + x2)

Solving
30 = 7x + x2

Solving for variable 'x'.

Reorder the terms:
30 + -7x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
30 + -7x + -1x2 = 0 + x2 + -1x2
30 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -7x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(10 + x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

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

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

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