(-4x)(6x+5y-5z)=

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Solution for (-4x)(6x+5y-5z)= equation: 


Simplifying
(-4x)(6x + 5y + -5z) = 0

Remove parenthesis around (-4x)
-4x(6x + 5y + -5z) = 0
(6x * -4x + 5y * -4x + -5z * -4x) = 0

Reorder the terms:
(-20xy + 20xz + -24x2) = 0
(-20xy + 20xz + -24x2) = 0

Solving
-20xy + 20xz + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5y + 5z + -6x) = 0

Ignore the factor 4.

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 '(-5y + 5z + -6x)' equal to zero and attempt to solve:

Simplifying
-5y + 5z + -6x = 0

Reorder the terms:
-6x + -5y + 5z = 0

Solving
-6x + -5y + 5z = 0

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

Add '5y' to each side of the equation.
-6x + -5y + 5y + 5z = 0 + 5y

Combine like terms: -5y + 5y = 0
-6x + 0 + 5z = 0 + 5y
-6x + 5z = 0 + 5y
Remove the zero:
-6x + 5z = 5y

Add '-5z' to each side of the equation.
-6x + 5z + -5z = 5y + -5z

Combine like terms: 5z + -5z = 0
-6x + 0 = 5y + -5z
-6x = 5y + -5z

Divide each side by '-6'.
x = -0.8333333333y + 0.8333333333z

Simplifying
x = -0.8333333333y + 0.8333333333z
Solution
x = {0, -0.8333333333y + 0.8333333333z}

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