88=x*(x+3)

Solution for 88=x*(x+3) equation:

Simplifying
88 = x(x + 3)

Reorder the terms:
88 = x(3 + x)
88 = (3 * x + x * x)
88 = (3x + x2)

Solving
88 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
88 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
88 + -3x + -1x2 = 0 + x2 + -1x2
88 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
88 + -3x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(11 + x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {8, -11}