(y+10)(y-20)=

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Solution for (y+10)(y-20)= equation: 


Simplifying
(y + 10)(y + -20) = 0

Reorder the terms:
(10 + y)(y + -20) = 0

Reorder the terms:
(10 + y)(-20 + y) = 0

Multiply (10 + y) * (-20 + y)
(10(-20 + y) + y(-20 + y)) = 0
((-20 * 10 + y * 10) + y(-20 + y)) = 0
((-200 + 10y) + y(-20 + y)) = 0
(-200 + 10y + (-20 * y + y * y)) = 0
(-200 + 10y + (-20y + y2)) = 0

Combine like terms: 10y + -20y = -10y
(-200 + -10y + y2) = 0

Solving
-200 + -10y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-10 + -1y)(20 + -1y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(20 + -1y)' equal to zero and attempt to solve:

Simplifying
20 + -1y = 0

Solving
20 + -1y = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = 0 + -20
-1y = 0 + -20

Combine like terms: 0 + -20 = -20
-1y = -20

Divide each side by '-1'.
y = 20

Simplifying
y = 20
Solution
y = {-10, 20}

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