x(21+x)=1450

Solution for x(21+x)=1450 equation:

Simplifying
x(21 + x) = 1450
(21 * x + x * x) = 1450
(21x + x2) = 1450

Solving
21x + x2 = 1450

Solving for variable 'x'.

Reorder the terms:
-1450 + 21x + x2 = 1450 + -1450

Combine like terms: 1450 + -1450 = 0
-1450 + 21x + x2 = 0

Factor a trinomial.
(-50 + -1x)(29 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(29 + -1x)' equal to zero and attempt to solve:

Simplifying
29 + -1x = 0

Solving
29 + -1x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -1x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 0 + -29
-1x = 0 + -29

Combine like terms: 0 + -29 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29
Solution
x = {-50, 29}