3(3+5)=x(x+10)

Solution for 3(3+5)=x(x+10) equation:

Simplifying
3(3 + 5) = x(x + 10)

Combine like terms: 3 + 5 = 8
3(8) = x(x + 10)

Multiply 3 * 8
24 = x(x + 10)

Reorder the terms:
24 = x(10 + x)
24 = (10 * x + x * x)
24 = (10x + x2)

Solving
24 = 10x + x2

Solving for variable 'x'.

Reorder the terms:
24 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
24 + -10x + -1x2 = 0 + x2 + -1x2
24 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + -10x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(12 + 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 '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {2, -12}