What are the solutions to the equation x(5x-2)=24 ?

The solutions to the equation x(5x-2)=24 are x= 12/5 ,x=-2

Find the zeros of x(5x-2)=24

The zeros of x(5x-2)=24 are x= 12/5 ,x=-2

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x (5 x - 2) = 24

x = \frac{12}{5}, x = - 2

Decimal Notation

x = 2.4, x = - 2

Solution steps

x (5 x - 2) = 24

Expand

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

5 x^{2} - 2 x = 24

Move

24

to the left side

5 x^{2} - 2 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 5 ( - 24 )}{2 \cdot 5}

(- 2)^{2} - 4 \cdot 5 (- 24) = 22

x_{1, 2} = \frac{- ( - 2 ) \pm 22}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 22}{2 \cdot 5}, x_{2} = \frac{- ( - 2 ) - 22}{2 \cdot 5}

x = \frac{- ( - 2 ) + 22}{2 \cdot 5} : \frac{12}{5}

x = \frac{- ( - 2 ) - 22}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

x = \frac{12}{5}, x = - 2

x^{2} - 18 x + 4 = 0

- x^{2} - 12 x + 9 = 0

x, z = x^{2} y^{2} - x y

t^{2} - 8 t + 10 = 0

x, f = (5 m - 10) 2 x^{2} + 3 x + 4

What are the solutions to the equation x(5x-2)=24 ?
The solutions to the equation x(5x-2)=24 are x= 12/5 ,x=-2
Find the zeros of x(5x-2)=24
The zeros of x(5x-2)=24 are x= 12/5 ,x=-2