Solve each quadratic equation by factoring and using the zero product property.

x^2 + 18x = 9x

x = 0 x = - 9

Step-by-step explanation:

x^2 + 18x = 9x

Subtract 9x from each side

x^2 + 18x-9x = 9x-9x

x^2 + 9x = 0

Factor x from the left hand side

x (x+9) = 0

Using the zero product property

x=0 x+9 = 0

x = 0 x+9-9 = 0-9

x = 0 x = - 9

x = 0 or x = - 9

Step-by-step explanation:

Given equation is:

x²+18x = 9x

adding - 9x to both sides of above equation, we get

x²+18x-9x = 9x-9x

add like terms

x²+9x = 0

make factors

x (x+9) = 0

Applying Zero-Product Property to above equation, we get

x = 0 or x+9 = 0

x = 0 is one of solution of x²+18x = 9x.

now, x+9 = 0

adding - 9 to both sides of above equation, we get

x+9-9 = 0-9

x+0 = - 9

x = - 9

Hence, the solution of x²-18x = 9x is {0,-9}.