1584=(6x-2)(2x)(9)

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Solution for 1584=(6x-2)(2x)(9) equation: 


Simplifying
1584 = (6x + -2)(2x)(9)

Reorder the terms:
1584 = (-2 + 6x)(2x)(9)

Remove parenthesis around (2x)
1584 = (-2 + 6x) * 2x(9)

Reorder the terms for easier multiplication:
1584 = 2 * 9x(-2 + 6x)

Multiply 2 * 9
1584 = 18x(-2 + 6x)
1584 = (-2 * 18x + 6x * 18x)
1584 = (-36x + 108x2)

Solving
1584 = -36x + 108x2

Solving for variable 'x'.

Reorder the terms:
1584 + 36x + -108x2 = -36x + 36x + 108x2 + -108x2

Combine like terms: -36x + 36x = 0
1584 + 36x + -108x2 = 0 + 108x2 + -108x2
1584 + 36x + -108x2 = 108x2 + -108x2

Combine like terms: 108x2 + -108x2 = 0
1584 + 36x + -108x2 = 0

Factor out the Greatest Common Factor (GCF), '36'.
36(44 + x + -3x2) = 0

Factor a trinomial.
36((4 + -1x)(11 + 3x)) = 0

Ignore the factor 36.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {4, -3.666666667}

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