5X^2-55X=60

Solution for 5X^2-55X=60 equation:

Simplifying
5X2 + -55X = 60

Reorder the terms:
-55X + 5X2 = 60

Solving
-55X + 5X2 = 60

Solving for variable 'X'.

Reorder the terms:
-60 + -55X + 5X2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -55X + 5X2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -11X + X2) = 0

Factor a trinomial.
5((-1 + -1X)(12 + -1X)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-1 + -1X)' equal to zero and attempt to solve:

Simplifying
-1 + -1X = 0

Solving
-1 + -1X = 0

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

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

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

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

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

Simplifying
X = -1
Subproblem 2
Set the factor '(12 + -1X)' equal to zero and attempt to solve:

Simplifying
12 + -1X = 0

Solving
12 + -1X = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1X = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1X = 0 + -12
-1X = 0 + -12

Combine like terms: 0 + -12 = -12
-1X = -12

Divide each side by '-1'.
X = 12

Simplifying
X = 12
Solution
X = {-1, 12}