-6x^3(15y^4-7xy^3+2)=

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Solution for -6x^3(15y^4-7xy^3+2)= equation: 


Simplifying
-6x3(15y4 + -7xy3 + 2) = 0

Reorder the terms:
-6x3(2 + -7xy3 + 15y4) = 0
(2 * -6x3 + -7xy3 * -6x3 + 15y4 * -6x3) = 0

Reorder the terms:
(-12x3 + -90x3y4 + 42x4y3) = 0
(-12x3 + -90x3y4 + 42x4y3) = 0

Solving
-12x3 + -90x3y4 + 42x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x3'.
6x3(-2 + -15y4 + 7xy3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2 + -15y4 + 7xy3)' equal to zero and attempt to solve:

Simplifying
-2 + -15y4 + 7xy3 = 0

Reorder the terms:
-2 + 7xy3 + -15y4 = 0

Solving
-2 + 7xy3 + -15y4 = 0

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

Add '2' to each side of the equation.
-2 + 7xy3 + 2 + -15y4 = 0 + 2

Reorder the terms:
-2 + 2 + 7xy3 + -15y4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7xy3 + -15y4 = 0 + 2
7xy3 + -15y4 = 0 + 2

Combine like terms: 0 + 2 = 2
7xy3 + -15y4 = 2

Add '15y4' to each side of the equation.
7xy3 + -15y4 + 15y4 = 2 + 15y4

Combine like terms: -15y4 + 15y4 = 0
7xy3 + 0 = 2 + 15y4
7xy3 = 2 + 15y4

Divide each side by '7y3'.
x = 0.2857142857y-3 + 2.142857143y

Simplifying
x = 0.2857142857y-3 + 2.142857143y
Solution
x = {0.2857142857y-3 + 2.142857143y}

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