What are the solutions to the equation 5x^2+6x+2=-x+8 ?

The solutions to the equation 5x^2+6x+2=-x+8 are x= 3/5 ,x=-2

Find the zeros of 5x^2+6x+2=-x+8

The zeros of 5x^2+6x+2=-x+8 are x= 3/5 ,x=-2

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5 x^{2} + 6 x + 2 = - x + 8

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

Decimal Notation

x = 0.6, x = - 2

Solution steps

5 x^{2} + 6 x + 2 = - x + 8

Move

8

to the left side

5 x^{2} + 6 x - 6 = - x

Move

x

to the left side

5 x^{2} + 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

7^{2} - 4 \cdot 5 (- 6) = 13

x_{1, 2} = \frac{- 7 \pm 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 7 + 13}{2 \cdot 5}, x_{2} = \frac{- 7 - 13}{2 \cdot 5}

x = \frac{- 7 + 13}{2 \cdot 5} : \frac{3}{5}

x = \frac{- 7 - 13}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

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

2 x^{2} - m x + n = 0

x, 3 x^{2} + 3 y^{2} + 3 z^{2} + 2 y - 2 z = 9

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

z^{2} + 2 z - 15 = - 3 z

(2 x - 1)^{2} - (x - 3) (x + 5) = (2 x + 3) (2 x - 3)

What are the solutions to the equation 5x^2+6x+2=-x+8 ?
The solutions to the equation 5x^2+6x+2=-x+8 are x= 3/5 ,x=-2
Find the zeros of 5x^2+6x+2=-x+8
The zeros of 5x^2+6x+2=-x+8 are x= 3/5 ,x=-2