6X^2-14X-20=0

Solution for 6X^2-14X-20=0 equation:

Simplifying
6X2 + -14X + -20 = 0

Reorder the terms:
-20 + -14X + 6X2 = 0

Solving
-20 + -14X + 6X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -7X + 3X2) = 0

Factor a trinomial.
2((-1 + -1X)(10 + -3X)) = 0

Ignore the factor 2.
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 '(10 + -3X)' equal to zero and attempt to solve:

Simplifying
10 + -3X = 0

Solving
10 + -3X = 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 + -3X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3X = 0 + -10
-3X = 0 + -10

Combine like terms: 0 + -10 = -10
-3X = -10

Divide each side by '-3'.
X = 3.333333333

Simplifying
X = 3.333333333
Solution
X = {-1, 3.333333333}