4(10-y)-y(10-y)=

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Solution for 4(10-y)-y(10-y)= equation: 


Simplifying
4(10 + -1y) + -1y(10 + -1y) = 0
(10 * 4 + -1y * 4) + -1y(10 + -1y) = 0
(40 + -4y) + -1y(10 + -1y) = 0
40 + -4y + (10 * -1y + -1y * -1y) = 0
40 + -4y + (-10y + 1y2) = 0

Combine like terms: -4y + -10y = -14y
40 + -14y + 1y2 = 0

Solving
40 + -14y + 1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + -1y)(10 + -1y) = 0


Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {4, 10}

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