What are the solutions to the equation 25x^2(5x-8)-16(5x-8)=0 ?

The solutions to the equation 25x^2(5x-8)-16(5x-8)=0 are x= 8/5 ,x=-4/5 ,x= 4/5

Find the zeros of 25x^2(5x-8)-16(5x-8)=0

The zeros of 25x^2(5x-8)-16(5x-8)=0 are x= 8/5 ,x=-4/5 ,x= 4/5

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25 x^{2} (5 x - 8) - 16 (5 x - 8) = 0

x = \frac{8}{5}, x = - \frac{4}{5}, x = \frac{4}{5}

Decimal Notation

x = 1.6, x = - 0.8, x = 0.8

Solution steps

25 x^{2} (5 x - 8) - 16 (5 x - 8) = 0

Factor

25 x^{2} (5 x - 8) - 16 (5 x - 8) : (5 x - 8) (5 x + 4) (5 x - 4)

(5 x - 8) (5 x + 4) (5 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 8 = 0 or 5 x + 4 = 0 or 5 x - 4 = 0

Solve

5 x - 8 = 0 : x = \frac{8}{5}

Solve

5 x + 4 = 0 : x = - \frac{4}{5}

Solve

5 x - 4 = 0 : x = \frac{4}{5}

The solutions are

x = \frac{8}{5}, x = - \frac{4}{5}, x = \frac{4}{5}

1200 = 360 (1 + x)^{10}

60 \cdot m^{5} = 45

3 x^{4} + 4 x^{3} - 6 x^{2} - 8 x = 0

(x^{2} - 4)^{2} + 3 x^{2} = 12

4 c^{3} + 4 c^{2} - 80 c = 0

What are the solutions to the equation 25x^2(5x-8)-16(5x-8)=0 ?
The solutions to the equation 25x^2(5x-8)-16(5x-8)=0 are x= 8/5 ,x=-4/5 ,x= 4/5
Find the zeros of 25x^2(5x-8)-16(5x-8)=0
The zeros of 25x^2(5x-8)-16(5x-8)=0 are x= 8/5 ,x=-4/5 ,x= 4/5