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

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

Find the zeros of (5x-2)^3-(5x-2)=0

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

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(5 x - 2)^{3} - (5 x - 2) = 0

x = \frac{2}{5}, x = \frac{1}{5}, x = \frac{3}{5}

Decimal Notation

x = 0.4, x = 0.2, x = 0.6

Solution steps

(5 x - 2)^{3} - (5 x - 2) = 0

Factor

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

(5 x - 2) (5 x - 1) (5 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 2 = 0 or 5 x - 1 = 0 or 5 x - 3 = 0

Solve

5 x - 2 = 0 : x = \frac{2}{5}

Solve

5 x - 1 = 0 : x = \frac{1}{5}

Solve

5 x - 3 = 0 : x = \frac{3}{5}

The solutions are

x = \frac{2}{5}, x = \frac{1}{5}, x = \frac{3}{5}

(x + 1)^{3} + x + 1 = 0

x^{3} + 25.3 x^{2} + 219.5 x + 660.1 = 0

x^{5} - 50 = 0

10750 = 5000 \cdot (1 + x)^{6}

x^{10} = x

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