x^2+130x+1725=3125

Solution for x^2+130x+1725=3125 equation:

Simplifying
x2 + 130x + 1725 = 3125

Reorder the terms:
1725 + 130x + x2 = 3125

Solving
1725 + 130x + x2 = 3125

Solving for variable 'x'.

Reorder the terms:
1725 + -3125 + 130x + x2 = 3125 + -3125

Combine like terms: 1725 + -3125 = -1400
-1400 + 130x + x2 = 3125 + -3125

Combine like terms: 3125 + -3125 = 0
-1400 + 130x + x2 = 0

Factor a trinomial.
(-140 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-140 + -1x)' equal to zero and attempt to solve:

Simplifying
-140 + -1x = 0

Solving
-140 + -1x = 0

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

Add '140' to each side of the equation.
-140 + 140 + -1x = 0 + 140

Combine like terms: -140 + 140 = 0
0 + -1x = 0 + 140
-1x = 0 + 140

Combine like terms: 0 + 140 = 140
-1x = 140

Divide each side by '-1'.
x = -140

Simplifying
x = -140
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-140, 10}