What are the solutions to the equation solvefor x,x^2-6x=y^2-6y ?

The solutions to the equation solvefor x,x^2-6x=y^2-6y are x=y,x=-y+6

Find the zeros of solvefor x,x^2-6x=y^2-6y

The zeros of solvefor x,x^2-6x=y^2-6y are x=y,x=-y+6

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solve for

x, x^{2} - 6 x = y^{2} - 6 y

x = y, x = - y + 6

Solution steps

x^{2} - 6 x = y^{2} - 6 y

Move

6 y

to the left side

x^{2} - 6 x + 6 y = y^{2}

Move

y^{2}

to the left side

x^{2} - 6 x + 6 y - y^{2} = 0

Factor

x^{2} - 6 x + 6 y - y^{2} : (x - y) (x + y - 6)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - y = 0 or x + y - 6 = 0

Solve

x - y = 0 : x = y

Solve

x + y - 6 = 0 : x = - y + 6

The solutions to the quadratic equation are:

x = y, x = - y + 6

5 x^{2} + 4 = 1129

(x + 1) (x - 1) = 1

4 x^{2} - 33 x + 63 = 0

16 x^{2} - 12 x = 0

12 t^{2} - 10 t + 5 = 0

What are the solutions to the equation solvefor x,x^2-6x=y^2-6y ?
The solutions to the equation solvefor x,x^2-6x=y^2-6y are x=y,x=-y+6
Find the zeros of solvefor x,x^2-6x=y^2-6y
The zeros of solvefor x,x^2-6x=y^2-6y are x=y,x=-y+6