10x(2x-5z)=

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Solution for 10x(2x-5z)= equation: 


Simplifying
10x(2x + -5z) = 0
(2x * 10x + -5z * 10x) = 0

Reorder the terms:
(-50xz + 20x2) = 0
(-50xz + 20x2) = 0

Solving
-50xz + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-5z + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
-5z + 2x = 0

Reorder the terms:
2x + -5z = 0

Solving
2x + -5z = 0

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

Add '5z' to each side of the equation.
2x + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
2x + 0 = 0 + 5z
2x = 0 + 5z
Remove the zero:
2x = 5z

Divide each side by '2'.
x = 2.5z

Simplifying
x = 2.5z
Solution
x = {0, 2.5z}

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