16x^2+15x-475=0

Solution for 16x^2+15x-475=0 equation:

Simplifying
16x2 + 15x + -475 = 0

Reorder the terms:
-475 + 15x + 16x2 = 0

Solving
-475 + 15x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-95 + -16x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-95 + -16x)' equal to zero and attempt to solve:

Simplifying
-95 + -16x = 0

Solving
-95 + -16x = 0

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

Add '95' to each side of the equation.
-95 + 95 + -16x = 0 + 95

Combine like terms: -95 + 95 = 0
0 + -16x = 0 + 95
-16x = 0 + 95

Combine like terms: 0 + 95 = 95
-16x = 95

Divide each side by '-16'.
x = -5.9375

Simplifying
x = -5.9375
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-5.9375, 5}