What are the solutions to the equation 5x^2-8x=8-5x ?

The solutions to the equation 5x^2-8x=8-5x are x= 8/5 ,x=-1

Find the zeros of 5x^2-8x=8-5x

The zeros of 5x^2-8x=8-5x are x= 8/5 ,x=-1

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5 x^{2} - 8 x = 8 - 5 x

x = \frac{8}{5}, x = - 1

Decimal Notation

x = 1.6, x = - 1

Solution steps

5 x^{2} - 8 x = 8 - 5 x

Move

5 x

to the left side

5 x^{2} - 3 x = 8

Move

8

to the left side

5 x^{2} - 3 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 5 ( - 8 )}{2 \cdot 5}

(- 3)^{2} - 4 \cdot 5 (- 8) = 13

x_{1, 2} = \frac{- ( - 3 ) \pm 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 13}{2 \cdot 5}, x_{2} = \frac{- ( - 3 ) - 13}{2 \cdot 5}

x = \frac{- ( - 3 ) + 13}{2 \cdot 5} : \frac{8}{5}

x = \frac{- ( - 3 ) - 13}{2 \cdot 5} : - 1

The solutions to the quadratic equation are:

x = \frac{8}{5}, x = - 1

3 r^{2} - 48 r + 192

x^{2} - 8 x - 1008 > 0

5 x^{2} - 20 + 15 = 0

\frac{3}{5} \cdot \frac{3}{5}

x (2 x - 8) (4 x - 36) \geq 0

What are the solutions to the equation 5x^2-8x=8-5x ?
The solutions to the equation 5x^2-8x=8-5x are x= 8/5 ,x=-1
Find the zeros of 5x^2-8x=8-5x
The zeros of 5x^2-8x=8-5x are x= 8/5 ,x=-1