What are the solutions to the equation x(x+4)=3x^2 ?

The solutions to the equation x(x+4)=3x^2 are x=0,x=2

Find the zeros of x(x+4)=3x^2

The zeros of x(x+4)=3x^2 are x=0,x=2

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x (x + 4) = 3 x^{2}

x = 0, x = 2

Solution steps

x (x + 4) = 3 x^{2}

Move

3 x^{2}

to the left side

x (x + 4) - 3 x^{2} = 0

Factor

x (x + 4) - 3 x^{2} : - 2 x (x - 2)

- 2 x (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0

Solve

x - 2 = 0 : x = 2

The solutions to the quadratic equation are:

x = 0, x = 2

0 = - 16 t^{2} + 40 t + 24

x^{2} = 13 x + 90

x^{2} + 1 = 17

3 x^{2} - 2 x = - 4

y^{2} - 18 y = - 15

What are the solutions to the equation x(x+4)=3x^2 ?
The solutions to the equation x(x+4)=3x^2 are x=0,x=2
Find the zeros of x(x+4)=3x^2
The zeros of x(x+4)=3x^2 are x=0,x=2