15X^2-165X-630=0

Solution for 15X^2-165X-630=0 equation:

Simplifying
15X2 + -165X + -630 = 0

Reorder the terms:
-630 + -165X + 15X2 = 0

Solving
-630 + -165X + 15X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-42 + -11X + X2) = 0

Factor a trinomial.
15((-3 + -1X)(14 + -1X)) = 0

Ignore the factor 15.
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 '(14 + -1X)' equal to zero and attempt to solve:

Simplifying
14 + -1X = 0

Solving
14 + -1X = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1X = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1X = 0 + -14
-1X = 0 + -14

Combine like terms: 0 + -14 = -14
-1X = -14

Divide each side by '-1'.
X = 14

Simplifying
X = 14
Solution
X = {-3, 14}