x^2-150x+5625=30625

Solution for x^2-150x+5625=30625 equation:

Simplifying
x2 + -150x + 5625 = 30625

Reorder the terms:
5625 + -150x + x2 = 30625

Solving
5625 + -150x + x2 = 30625

Solving for variable 'x'.

Reorder the terms:
5625 + -30625 + -150x + x2 = 30625 + -30625

Combine like terms: 5625 + -30625 = -25000
-25000 + -150x + x2 = 30625 + -30625

Combine like terms: 30625 + -30625 = 0
-25000 + -150x + x2 = 0

Factor a trinomial.
(-100 + -1x)(250 + -1x) = 0

Subproblem 1
Set the factor '(-100 + -1x)' equal to zero and attempt to solve:

Simplifying
-100 + -1x = 0

Solving
-100 + -1x = 0

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

Add '100' to each side of the equation.
-100 + 100 + -1x = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -1x = 0 + 100
-1x = 0 + 100

Combine like terms: 0 + 100 = 100
-1x = 100

Divide each side by '-1'.
x = -100

Simplifying
x = -100
Subproblem 2
Set the factor '(250 + -1x)' equal to zero and attempt to solve:

Simplifying
250 + -1x = 0

Solving
250 + -1x = 0

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

Add '-250' to each side of the equation.
250 + -250 + -1x = 0 + -250

Combine like terms: 250 + -250 = 0
0 + -1x = 0 + -250
-1x = 0 + -250

Combine like terms: 0 + -250 = -250
-1x = -250

Divide each side by '-1'.
x = 250

Simplifying
x = 250
Solution
x = {-100, 250}