x(x+8)=2900

Solution for x(x+8)=2900 equation:

Simplifying
x(x + 8) = 2900

Reorder the terms:
x(8 + x) = 2900
(8 * x + x * x) = 2900
(8x + x2) = 2900

Solving
8x + x2 = 2900

Solving for variable 'x'.

Reorder the terms:
-2900 + 8x + x2 = 2900 + -2900

Combine like terms: 2900 + -2900 = 0
-2900 + 8x + x2 = 0

Factor a trinomial.
(-58 + -1x)(50 + -1x) = 0

Subproblem 1
Set the factor '(-58 + -1x)' equal to zero and attempt to solve:

Simplifying
-58 + -1x = 0

Solving
-58 + -1x = 0

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

Add '58' to each side of the equation.
-58 + 58 + -1x = 0 + 58

Combine like terms: -58 + 58 = 0
0 + -1x = 0 + 58
-1x = 0 + 58

Combine like terms: 0 + 58 = 58
-1x = 58

Divide each side by '-1'.
x = -58

Simplifying
x = -58
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {-58, 50}