What are the solutions to the equation 7x=3x^2 ?

The solutions to the equation 7x=3x^2 are x=0,x= 7/3

Find the zeros of 7x=3x^2

The zeros of 7x=3x^2 are x=0,x= 7/3

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7 x = 3 x^{2}

x = 0, x = \frac{7}{3}

Decimal Notation

x = 0, x = 2.33333 \dots

Solution steps

7 x = 3 x^{2}

Move

3 x^{2}

to the left side

7 x - 3 x^{2} = 0

Factor

7 x - 3 x^{2} : - x (3 x - 7)

- x (3 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x - 7 = 0

Solve

3 x - 7 = 0 : x = \frac{7}{3}

The solutions to the quadratic equation are:

x = 0, x = \frac{7}{3}

a^{2} = 225

2 x^{2} + 6 x - 8

x, 10 x^{2} + 10 y^{2} = 0

3 x^{2} = 5 - 14 x

(x + 3)^{2} = 9 x^{2}

What are the solutions to the equation 7x=3x^2 ?
The solutions to the equation 7x=3x^2 are x=0,x= 7/3
Find the zeros of 7x=3x^2
The zeros of 7x=3x^2 are x=0,x= 7/3