5(5+11)=x(x+16)

Solution for 5(5+11)=x(x+16) equation:

Simplifying
5(5 + 11) = x(x + 16)

Combine like terms: 5 + 11 = 16
5(16) = x(x + 16)

Multiply 5 * 16
80 = x(x + 16)

Reorder the terms:
80 = x(16 + x)
80 = (16 * x + x * x)
80 = (16x + x2)

Solving
80 = 16x + x2

Solving for variable 'x'.

Reorder the terms:
80 + -16x + -1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
80 + -16x + -1x2 = 0 + x2 + -1x2
80 + -16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
80 + -16x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(20 + x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {4, -20}