(x+3)*x=88

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

Simplifying
(x + 3) * x = 88

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

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

Solving
3x + x2 = 88

Solving for variable 'x'.

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

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

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

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 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 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
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
Solution
x = {-11, 8}