(8x-5)(15x+1)=

Solution for (8x-5)(15x+1)= equation:

Simplifying
(8x + -5)(15x + 1) = 0

Reorder the terms:
(-5 + 8x)(15x + 1) = 0

Reorder the terms:
(-5 + 8x)(1 + 15x) = 0

Multiply (-5 + 8x) * (1 + 15x)
(-5(1 + 15x) + 8x * (1 + 15x)) = 0
((1 * -5 + 15x * -5) + 8x * (1 + 15x)) = 0
((-5 + -75x) + 8x * (1 + 15x)) = 0
(-5 + -75x + (1 * 8x + 15x * 8x)) = 0
(-5 + -75x + (8x + 120x2)) = 0

Combine like terms: -75x + 8x = -67x
(-5 + -67x + 120x2) = 0

Solving
-5 + -67x + 120x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -15x)(5 + -8x) = 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 '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

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

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {-0.06666666667, 0.625}