2x(x+4y+5z)=

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Solution for 2x(x+4y+5z)= equation: 


Simplifying
2x(x + 4y + 5z) = 0
(x * 2x + 4y * 2x + 5z * 2x) = 0

Reorder the terms:
(8xy + 10xz + 2x2) = 0
(8xy + 10xz + 2x2) = 0

Solving
8xy + 10xz + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4y + 5z + x) = 0

Ignore the factor 2.

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 '(4y + 5z + x)' equal to zero and attempt to solve:

Simplifying
4y + 5z + x = 0

Reorder the terms:
x + 4y + 5z = 0

Solving
x + 4y + 5z = 0

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

Add '-4y' to each side of the equation.
x + 4y + -4y + 5z = 0 + -4y

Combine like terms: 4y + -4y = 0
x + 0 + 5z = 0 + -4y
x + 5z = 0 + -4y
Remove the zero:
x + 5z = -4y

Add '-5z' to each side of the equation.
x + 5z + -5z = -4y + -5z

Combine like terms: 5z + -5z = 0
x + 0 = -4y + -5z
x = -4y + -5z

Simplifying
x = -4y + -5z
Solution
x = {0, -4y + -5z}

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