10x^2-384x-1512=0

Solution for 10x^2-384x-1512=0 equation:

Simplifying
10x2 + -384x + -1512 = 0

Reorder the terms:
-1512 + -384x + 10x2 = 0

Solving
-1512 + -384x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-756 + -192x + 5x2) = 0

Factor a trinomial.
2((-18 + -5x)(42 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-18 + -5x)' equal to zero and attempt to solve:

Simplifying
-18 + -5x = 0

Solving
-18 + -5x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -5x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = 0 + 18
-5x = 0 + 18

Combine like terms: 0 + 18 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {-3.6, 42}