x(x+35)=7350

Solution for x(x+35)=7350 equation:

Simplifying
x(x + 35) = 7350

Reorder the terms:
x(35 + x) = 7350
(35 * x + x * x) = 7350
(35x + x2) = 7350

Solving
35x + x2 = 7350

Solving for variable 'x'.

Reorder the terms:
-7350 + 35x + x2 = 7350 + -7350

Combine like terms: 7350 + -7350 = 0
-7350 + 35x + x2 = 0

Factor a trinomial.
(-105 + -1x)(70 + -1x) = 0

Subproblem 1
Set the factor '(-105 + -1x)' equal to zero and attempt to solve:

Simplifying
-105 + -1x = 0

Solving
-105 + -1x = 0

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

Add '105' to each side of the equation.
-105 + 105 + -1x = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -1x = 0 + 105
-1x = 0 + 105

Combine like terms: 0 + 105 = 105
-1x = 105

Divide each side by '-1'.
x = -105

Simplifying
x = -105
Subproblem 2
Set the factor '(70 + -1x)' equal to zero and attempt to solve:

Simplifying
70 + -1x = 0

Solving
70 + -1x = 0

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

Add '-70' to each side of the equation.
70 + -70 + -1x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -1x = 0 + -70
-1x = 0 + -70

Combine like terms: 0 + -70 = -70
-1x = -70

Divide each side by '-1'.
x = 70

Simplifying
x = 70
Solution
x = {-105, 70}