5x^2-8x-1152=0

Solution for 5x^2-8x-1152=0 equation:

Simplifying
5x2 + -8x + -1152 = 0

Reorder the terms:
-1152 + -8x + 5x2 = 0

Solving
-1152 + -8x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-72 + -5x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-72 + -5x)' equal to zero and attempt to solve:

Simplifying
-72 + -5x = 0

Solving
-72 + -5x = 0

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

Add '72' to each side of the equation.
-72 + 72 + -5x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -5x = 0 + 72
-5x = 0 + 72

Combine like terms: 0 + 72 = 72
-5x = 72

Divide each side by '-5'.
x = -14.4

Simplifying
x = -14.4
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-14.4, 16}