-5x(x+y-2)=

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


Simplifying
-5x(x + y + -2) = 0

Reorder the terms:
-5x(-2 + x + y) = 0
(-2 * -5x + x * -5x + y * -5x) = 0

Reorder the terms:
(10x + -5xy + -5x2) = 0
(10x + -5xy + -5x2) = 0

Solving
10x + -5xy + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(2 + -1y + -1x) = 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 '(2 + -1y + -1x)' equal to zero and attempt to solve:

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

Reorder the terms:
2 + -1x + -1y = 0

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

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

Add '-2' to each side of the equation.
2 + -1x + -2 + -1y = 0 + -2

Reorder the terms:
2 + -2 + -1x + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x + -1y = 0 + -2
-1x + -1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1x + -1y = -2

Add 'y' to each side of the equation.
-1x + -1y + y = -2 + y

Combine like terms: -1y + y = 0
-1x + 0 = -2 + y
-1x = -2 + y

Divide each side by '-1'.
x = 2 + -1y

Simplifying
x = 2 + -1y
Solution
x = {0, 2 + -1y}

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