25x^2-150x=-225

Solution for 25x^2-150x=-225 equation:

Simplifying
25x2 + -150x = -225

Reorder the terms:
-150x + 25x2 = -225

Solving
-150x + 25x2 = -225

Solving for variable 'x'.

Reorder the terms:
225 + -150x + 25x2 = -225 + 225

Combine like terms: -225 + 225 = 0
225 + -150x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '25'.
25(9 + -6x + x2) = 0

Factor a trinomial.
25((3 + -1x)(3 + -1x)) = 0

Ignore the factor 25.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}