What are the solutions to the equation 24x^2-50x-20=2x ?

The solutions to the equation 24x^2-50x-20=2x are x= 5/2 ,x=-1/3

Find the zeros of 24x^2-50x-20=2x

The zeros of 24x^2-50x-20=2x are x= 5/2 ,x=-1/3

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24 x^{2} - 50 x - 20 = 2 x

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

Decimal Notation

x = 2.5, x = - 0.33333 \dots

Solution steps

24 x^{2} - 50 x - 20 = 2 x

Move

2 x

to the left side

24 x^{2} - 52 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 52 ) \pm ( - 52 ) ^{2} - 4 \cdot 24 ( - 20 )}{2 \cdot 24}

(- 52)^{2} - 4 \cdot 24 (- 20) = 68

x_{1, 2} = \frac{- ( - 52 ) \pm 68}{2 \cdot 24}

Separate the solutions

x_{1} = \frac{- ( - 52 ) + 68}{2 \cdot 24}, x_{2} = \frac{- ( - 52 ) - 68}{2 \cdot 24}

x = \frac{- ( - 52 ) + 68}{2 \cdot 24} : \frac{5}{2}

x = \frac{- ( - 52 ) - 68}{2 \cdot 24} : - \frac{1}{3}

The solutions to the quadratic equation are:

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

- 6 x^{2} + 17 = - 133

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

9 X = 2916 - \frac{X ^{2}}{3}

2 x^{2} + 4 x + 15 = 175

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

What are the solutions to the equation 24x^2-50x-20=2x ?
The solutions to the equation 24x^2-50x-20=2x are x= 5/2 ,x=-1/3
Find the zeros of 24x^2-50x-20=2x
The zeros of 24x^2-50x-20=2x are x= 5/2 ,x=-1/3