(13x-2)(23x+2)=

Solution for (13x-2)(23x+2)= equation:

Simplifying
(13x + -2)(23x + 2) = 0

Reorder the terms:
(-2 + 13x)(23x + 2) = 0

Reorder the terms:
(-2 + 13x)(2 + 23x) = 0

Multiply (-2 + 13x) * (2 + 23x)
(-2(2 + 23x) + 13x * (2 + 23x)) = 0
((2 * -2 + 23x * -2) + 13x * (2 + 23x)) = 0
((-4 + -46x) + 13x * (2 + 23x)) = 0
(-4 + -46x + (2 * 13x + 23x * 13x)) = 0
(-4 + -46x + (26x + 299x2)) = 0

Combine like terms: -46x + 26x = -20x
(-4 + -20x + 299x2) = 0

Solving
-4 + -20x + 299x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -23x)(2 + -13x) = 0

Subproblem 1
Set the factor '(-2 + -23x)' equal to zero and attempt to solve:

Simplifying
-2 + -23x = 0

Solving
-2 + -23x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -23x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -23x = 0 + 2
-23x = 0 + 2

Combine like terms: 0 + 2 = 2
-23x = 2

Divide each side by '-23'.
x = -0.08695652174

Simplifying
x = -0.08695652174
Subproblem 2
Set the factor '(2 + -13x)' equal to zero and attempt to solve:

Simplifying
2 + -13x = 0

Solving
2 + -13x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -13x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 0 + -2
-13x = 0 + -2

Combine like terms: 0 + -2 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538
Solution
x = {-0.08695652174, 0.1538461538}