(13x+8)(13x-4)=

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Solution for (13x+8)(13x-4)= equation: 


Simplifying
(13x + 8)(13x + -4) = 0

Reorder the terms:
(8 + 13x)(13x + -4) = 0

Reorder the terms:
(8 + 13x)(-4 + 13x) = 0

Multiply (8 + 13x) * (-4 + 13x)
(8(-4 + 13x) + 13x * (-4 + 13x)) = 0
((-4 * 8 + 13x * 8) + 13x * (-4 + 13x)) = 0
((-32 + 104x) + 13x * (-4 + 13x)) = 0
(-32 + 104x + (-4 * 13x + 13x * 13x)) = 0
(-32 + 104x + (-52x + 169x2)) = 0

Combine like terms: 104x + -52x = 52x
(-32 + 52x + 169x2) = 0

Solving
-32 + 52x + 169x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -13x)(4 + -13x) = 0


Subproblem 1
Set the factor '(-8 + -13x)' equal to zero and attempt to solve:

Simplifying
-8 + -13x = 0

Solving
-8 + -13x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -13x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13x = 0 + 8
-13x = 0 + 8

Combine like terms: 0 + 8 = 8
-13x = 8

Divide each side by '-13'.
x = -0.6153846154

Simplifying
x = -0.6153846154

Subproblem 2
Set the factor '(4 + -13x)' equal to zero and attempt to solve:

Simplifying
4 + -13x = 0

Solving
4 + -13x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -13x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -13x = 0 + -4
-13x = 0 + -4

Combine like terms: 0 + -4 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077
Solution
x = {-0.6153846154, 0.3076923077}

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