(1-5x)(3+7x)=

Solution for (1-5x)(3+7x)= equation:

Simplifying
(1 + -5x)(3 + 7x) = 0

Multiply (1 + -5x) * (3 + 7x)
(1(3 + 7x) + -5x * (3 + 7x)) = 0
((3 * 1 + 7x * 1) + -5x * (3 + 7x)) = 0
((3 + 7x) + -5x * (3 + 7x)) = 0
(3 + 7x + (3 * -5x + 7x * -5x)) = 0
(3 + 7x + (-15x + -35x2)) = 0

Combine like terms: 7x + -15x = -8x
(3 + -8x + -35x2) = 0

Solving
3 + -8x + -35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -5x)(3 + 7x) = 0

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

Simplifying
1 + -5x = 0

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

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 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 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Solution
x = {0.2, -0.4285714286}