10=x(x+3)

Solution for 10=x(x+3) equation:

Simplifying
10 = x(x + 3)

Reorder the terms:
10 = x(3 + x)
10 = (3 * x + x * x)
10 = (3x + x2)

Solving
10 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
10 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
10 + -3x + -1x2 = 0 + x2 + -1x2
10 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -3x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(5 + x) = 0

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {2, -5}