What are the solutions to the equation (7x+1)(5x^3-10x^2)=0 ?

The solutions to the equation (7x+1)(5x^3-10x^2)=0 are x=0,x=2,x=-1/7

Find the zeros of (7x+1)(5x^3-10x^2)=0

The zeros of (7x+1)(5x^3-10x^2)=0 are x=0,x=2,x=-1/7

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(7 x + 1) (5 x^{3} - 10 x^{2}) = 0

x = 0, x = 2, x = - \frac{1}{7}

Decimal Notation

x = 0, x = 2, x = - 0.14285 \dots

Solution steps

(7 x + 1) (5 x^{3} - 10 x^{2}) = 0

Factor

(7 x + 1) (5 x^{3} - 10 x^{2}) : 5 x^{2} (x - 2) (7 x + 1)

5 x^{2} (x - 2) (7 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or 7 x + 1 = 0

Solve

x - 2 = 0 : x = 2

Solve

7 x + 1 = 0 : x = - \frac{1}{7}

The solutions are

x = 0, x = 2, x = - \frac{1}{7}

(x^{2} - 5 x) (x - 36) = 0

(2 x^{3}) x^{8} = 2 x (3 x^{8})

x = - (x - 3)^{3}

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

x^{7} + 3 x + 3 = 0

What are the solutions to the equation (7x+1)(5x^3-10x^2)=0 ?
The solutions to the equation (7x+1)(5x^3-10x^2)=0 are x=0,x=2,x=-1/7
Find the zeros of (7x+1)(5x^3-10x^2)=0
The zeros of (7x+1)(5x^3-10x^2)=0 are x=0,x=2,x=-1/7