What are the solutions to the equation 2x(x+9)=x(x-2) ?

The solutions to the equation 2x(x+9)=x(x-2) are x=0,x=-20

Find the zeros of 2x(x+9)=x(x-2)

The zeros of 2x(x+9)=x(x-2) are x=0,x=-20

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2 x (x + 9) = x (x - 2)

x = 0, x = - 20

Solution steps

2 x (x + 9) = x (x - 2)

Move

x (x - 2)

to the left side

2 x (x + 9) - x (x - 2) = 0

Factor

2 x (x + 9) - x (x - 2) : x (x + 20)

x (x + 20) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 20 = 0

Solve

x + 20 = 0 : x = - 20

The solutions to the quadratic equation are:

x = 0, x = - 20

x^{2} + 8 x + 15 = 0

2 6^{2} = x^{2} + 2 4^{2}

- 6 x^{2} + 4 x - 3 = 0

18 n = 2 n^{2}

- 6 x^{2} - 5 x + 6 = 0

What are the solutions to the equation 2x(x+9)=x(x-2) ?
The solutions to the equation 2x(x+9)=x(x-2) are x=0,x=-20
Find the zeros of 2x(x+9)=x(x-2)
The zeros of 2x(x+9)=x(x-2) are x=0,x=-20