76x-96x^2-15=0

Solution for 76x-96x^2-15=0 equation:

Simplifying
76x + -96x2 + -15 = 0

Reorder the terms:
-15 + 76x + -96x2 = 0

Solving
-15 + 76x + -96x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + 12x)(3 + -8x) = 0

Subproblem 1
Set the factor '(-5 + 12x)' equal to zero and attempt to solve:

Simplifying
-5 + 12x = 0

Solving
-5 + 12x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 12x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 0 + 5
12x = 0 + 5

Combine like terms: 0 + 5 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667
Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {0.4166666667, 0.375}