What are the solutions to the equation 2((y+5)y)=(y+10)(y+5) ?

The solutions to the equation 2((y+5)y)=(y+10)(y+5) are y=-5,y=10

Find the zeros of 2((y+5)y)=(y+10)(y+5)

The zeros of 2((y+5)y)=(y+10)(y+5) are y=-5,y=10

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2 ((y + 5) y) = (y + 10) (y + 5)

y = - 5, y = 10

Solution steps

2 ((y + 5) y) = (y + 10) (y + 5)

Move

(y + 10) (y + 5)

to the left side

2 (y + 5) y - (y + 10) (y + 5) = 0

Factor

2 (y + 5) y - (y + 10) (y + 5) : (y + 5) (y - 10)

(y + 5) (y - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y + 5 = 0 or y - 10 = 0

Solve

y + 5 = 0 : y = - 5

Solve

y - 10 = 0 : y = 10

The solutions to the quadratic equation are:

y = - 5, y = 10

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What are the solutions to the equation 2((y+5)y)=(y+10)(y+5) ?
The solutions to the equation 2((y+5)y)=(y+10)(y+5) are y=-5,y=10
Find the zeros of 2((y+5)y)=(y+10)(y+5)
The zeros of 2((y+5)y)=(y+10)(y+5) are y=-5,y=10