x(x+30)=6175

Solution for x(x+30)=6175 equation:

Simplifying
x(x + 30) = 6175

Reorder the terms:
x(30 + x) = 6175
(30 * x + x * x) = 6175
(30x + x2) = 6175

Solving
30x + x2 = 6175

Solving for variable 'x'.

Reorder the terms:
-6175 + 30x + x2 = 6175 + -6175

Combine like terms: 6175 + -6175 = 0
-6175 + 30x + x2 = 0

Factor a trinomial.
(-95 + -1x)(65 + -1x) = 0

Subproblem 1
Set the factor '(-95 + -1x)' equal to zero and attempt to solve:

Simplifying
-95 + -1x = 0

Solving
-95 + -1x = 0

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

Add '95' to each side of the equation.
-95 + 95 + -1x = 0 + 95

Combine like terms: -95 + 95 = 0
0 + -1x = 0 + 95
-1x = 0 + 95

Combine like terms: 0 + 95 = 95
-1x = 95

Divide each side by '-1'.
x = -95

Simplifying
x = -95
Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve:

Simplifying
65 + -1x = 0

Solving
65 + -1x = 0

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

Add '-65' to each side of the equation.
65 + -65 + -1x = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -1x = 0 + -65
-1x = 0 + -65

Combine like terms: 0 + -65 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65
Solution
x = {-95, 65}