[5X-3][6X-1]=

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Solution for [5X-3][6X-1]= equation: 


Simplifying
[5X + -3][6X + -1] = 0

Reorder the terms:
[-3 + 5X][6X + -1] = 0

Reorder the terms:
[-3 + 5X][-1 + 6X] = 0

Multiply [-3 + 5X] * [-1 + 6X]
[-3[-1 + 6X] + 5X * [-1 + 6X]] = 0
[[-1 * -3 + 6X * -3] + 5X * [-1 + 6X]] = 0
[[3 + -18X] + 5X * [-1 + 6X]] = 0
[3 + -18X + [-1 * 5X + 6X * 5X]] = 0
[3 + -18X + [-5X + 30X2]] = 0

Combine like terms: -18X + -5X = -23X
[3 + -23X + 30X2] = 0

Solving
3 + -23X + 30X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(1 + -6X)(3 + -5X) = 0


Subproblem 1
Set the factor '(1 + -6X)' equal to zero and attempt to solve:

Simplifying
1 + -6X = 0

Solving
1 + -6X = 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 + -6X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6X = 0 + -1
-6X = 0 + -1

Combine like terms: 0 + -1 = -1
-6X = -1

Divide each side by '-6'.
X = 0.1666666667

Simplifying
X = 0.1666666667

Subproblem 2
Set the factor '(3 + -5X)' equal to zero and attempt to solve:

Simplifying
3 + -5X = 0

Solving
3 + -5X = 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 + -5X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5X = 0 + -3
-5X = 0 + -3

Combine like terms: 0 + -3 = -3
-5X = -3

Divide each side by '-5'.
X = 0.6

Simplifying
X = 0.6
Solution
X = {0.1666666667, 0.6}

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