65x^2-8x-48=0

Solution for 65x^2-8x-48=0 equation:

Simplifying
65x2 + -8x + -48 = 0

Reorder the terms:
-48 + -8x + 65x2 = 0

Solving
-48 + -8x + 65x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(12 + -13x) = 0

Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8
Subproblem 2
Set the factor '(12 + -13x)' equal to zero and attempt to solve:

Simplifying
12 + -13x = 0

Solving
12 + -13x = 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 + -13x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = 0 + -12
-13x = 0 + -12

Combine like terms: 0 + -12 = -12
-13x = -12

Divide each side by '-13'.
x = 0.9230769231

Simplifying
x = 0.9230769231
Solution
x = {-0.8, 0.9230769231}