Simplify: 5x-(2x+y)

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Simplifying

5x(2x + y) = 0

(2x * 5x + y * 5x) = 0

Reorder the terms:

(5xy + 10x2) = 0

(5xy + 10x2) = 0

Solving

5xy + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.

5x(y + 2x) = 0

Ignore the factor 5.

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 + 2x)' equal to zero and attempt to solve:

Simplifying

y + 2x = 0

Reorder the terms:

2x + y = 0

Solving

2x + y = 0

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

Add '-1y' to each side of the equation.

2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0

2x + 0 = 0 + -1y

2x = 0 + -1y

Remove the zero:

2x = -1y

Divide each side by '2'.

x = -0.5y

Simplifying

x = -0.5y

Solution

x = {0, -0.5y}

8

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.