10x(5z+4x)=

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Solution for 10x(5z+4x)= equation: 


Simplifying
10x(5z + 4x) = 0

Reorder the terms:
10x(4x + 5z) = 0
(4x * 10x + 5z * 10x) = 0

Reorder the terms:
(50xz + 40x2) = 0
(50xz + 40x2) = 0

Solving
50xz + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(5z + 4x) = 0

Ignore the factor 10.

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

Simplifying
5z + 4x = 0

Reorder the terms:
4x + 5z = 0

Solving
4x + 5z = 0

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

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

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

Divide each side by '4'.
x = -1.25z

Simplifying
x = -1.25z
Solution
x = {0, -1.25z}

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