(4x^2+y)(-6x)=

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Solution for (4x^2+y)(-6x)= equation: 


Simplifying
(4x2 + y)(-6x) = 0

Remove parenthesis around (-6x)
(4x2 + y) * -6x = 0

Reorder the terms for easier multiplication:
-6x(4x2 + y) = 0
(4x2 * -6x + y * -6x) = 0

Reorder the terms:
(-6xy + -24x3) = 0
(-6xy + -24x3) = 0

Solving
-6xy + -24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-6x'.
-6x(y + 4x2) = 0

Ignore the factor -6.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(y + 4x2)' equal to zero and attempt to solve:

Simplifying
y + 4x2 = 0

Reorder the terms:
4x2 + y = 0

Solving
4x2 + y = 0

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

Add '-1y' to each side of the equation.
4x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x2 + 0 = 0 + -1y
4x2 = 0 + -1y
Remove the zero:
4x2 = -1y

Divide each side by '4'.
x2 = -0.25y

Simplifying
x2 = -0.25y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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