75x^2-40x-3=

Solution for 75x^2-40x-3= equation:

Simplifying
75x2 + -40x + -3 = 0

Reorder the terms:
-3 + -40x + 75x2 = 0

Solving
-3 + -40x + 75x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -15x)(3 + -5x) = 0

Subproblem 1
Set the factor '(-1 + -15x)' equal to zero and attempt to solve:

Simplifying
-1 + -15x = 0

Solving
-1 + -15x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -15x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -15x = 0 + 1
-15x = 0 + 1

Combine like terms: 0 + 1 = 1
-15x = 1

Divide each side by '-15'.
x = -0.06666666667

Simplifying
x = -0.06666666667
Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-0.06666666667, 0.6}