What are the solutions to the equation 7x^2+15x=2x^3 ?

The solutions to the equation 7x^2+15x=2x^3 are x=0,x=-3/2 ,x=5

Find the zeros of 7x^2+15x=2x^3

The zeros of 7x^2+15x=2x^3 are x=0,x=-3/2 ,x=5

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7 x^{2} + 15 x = 2 x^{3}

x = 0, x = - \frac{3}{2}, x = 5

Decimal

x = 0, x = - 1.5, x = 5

Solution steps

7 x^{2} + 15 x = 2 x^{3}

Switch sides

2 x^{3} = 7 x^{2} + 15 x

Move

15 x

to the left side

2 x^{3} - 15 x = 7 x^{2}

Move

7 x^{2}

to the left side

2 x^{3} - 15 x - 7 x^{2} = 0

Factor

2 x^{3} - 15 x - 7 x^{2} : x (2 x + 3) (x - 5)

x (2 x + 3) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0 or x - 5 = 0

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = - \frac{3}{2}, x = 5

x^{4} - x^{3} - 3 x^{2} + 5 x - 2 = 0

x^{3} - 34 x + 12 = 0

r^{3} - 2 r^{2} - 5 r + 6 = 0

y, x = y^{3} + 5

3 x^{2} - 4 x^{3} + 12 x = 0

What are the solutions to the equation 7x^2+15x=2x^3 ?
The solutions to the equation 7x^2+15x=2x^3 are x=0,x=-3/2 ,x=5
Find the zeros of 7x^2+15x=2x^3
The zeros of 7x^2+15x=2x^3 are x=0,x=-3/2 ,x=5