(5X-1)(3X+1)=

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


Simplifying
(5X + -1)(3X + 1) = 0

Reorder the terms:
(-1 + 5X)(3X + 1) = 0

Reorder the terms:
(-1 + 5X)(1 + 3X) = 0

Multiply (-1 + 5X) * (1 + 3X)
(-1(1 + 3X) + 5X * (1 + 3X)) = 0
((1 * -1 + 3X * -1) + 5X * (1 + 3X)) = 0
((-1 + -3X) + 5X * (1 + 3X)) = 0
(-1 + -3X + (1 * 5X + 3X * 5X)) = 0
(-1 + -3X + (5X + 15X2)) = 0

Combine like terms: -3X + 5X = 2X
(-1 + 2X + 15X2) = 0

Solving
-1 + 2X + 15X2 = 0

Solving for variable 'X'.

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


Subproblem 1
Set the factor '(-1 + -3X)' equal to zero and attempt to solve:

Simplifying
-1 + -3X = 0

Solving
-1 + -3X = 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 + -3X = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3X = 0 + 1
-3X = 0 + 1

Combine like terms: 0 + 1 = 1
-3X = 1

Divide each side by '-3'.
X = -0.3333333333

Simplifying
X = -0.3333333333

Subproblem 2
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
Solution
X = {-0.3333333333, 0.2}

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