What are the solutions to the equation y(y-6)=-y(y-6) ?

The solutions to the equation y(y-6)=-y(y-6) are y=0,y=6

Find the zeros of y(y-6)=-y(y-6)

The zeros of y(y-6)=-y(y-6) are y=0,y=6

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y (y - 6) = - y (y - 6)

y = 0, y = 6

Solution steps

y (y - 6) = - y (y - 6)

Move

y (y - 6)

to the left side

y (y - 6) + y (y - 6) = 0

Factor

y (y - 6) + y (y - 6) : 2 y (y - 6)

2 y (y - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y - 6 = 0

Solve

y - 6 = 0 : y = 6

The solutions to the quadratic equation are:

y = 0, y = 6

- 9 x + 4 \leq 49

2 x^{3} - 3 x^{2} - 5 x + 6

6 x (x - 1) = 1 - 7 x

x^{2} + 2 = x + 4

3 (\frac{1 + i}{1 - i})^{2} - 2 (\frac{1 - i}{1 + i})^{3}

What are the solutions to the equation y(y-6)=-y(y-6) ?
The solutions to the equation y(y-6)=-y(y-6) are y=0,y=6
Find the zeros of y(y-6)=-y(y-6)
The zeros of y(y-6)=-y(y-6) are y=0,y=6