(7x+1)(-14x+2)=

Solution for (7x+1)(-14x+2)= equation:

Simplifying
(7x + 1)(-14x + 2) = 0

Reorder the terms:
(1 + 7x)(-14x + 2) = 0

Reorder the terms:
(1 + 7x)(2 + -14x) = 0

Multiply (1 + 7x) * (2 + -14x)
(1(2 + -14x) + 7x * (2 + -14x)) = 0
((2 * 1 + -14x * 1) + 7x * (2 + -14x)) = 0
((2 + -14x) + 7x * (2 + -14x)) = 0
(2 + -14x + (2 * 7x + -14x * 7x)) = 0
(2 + -14x + (14x + -98x2)) = 0

Combine like terms: -14x + 14x = 0
(2 + 0 + -98x2) = 0
(2 + -98x2) = 0

Solving
2 + -98x2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -98x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -98x2 = 0 + -2
-98x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-98x2 = -2

Divide each side by '-98'.
x2 = 0.02040816327

Simplifying
x2 = 0.02040816327

Take the square root of each side:
x = {-0.142857143, 0.142857143}