What are the solutions to the equation 5x^2+14x=x+6 ?

The solutions to the equation 5x^2+14x=x+6 are x= 2/5 ,x=-3

Find the zeros of 5x^2+14x=x+6

The zeros of 5x^2+14x=x+6 are x= 2/5 ,x=-3

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5 x^{2} + 14 x = x + 6

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

Decimal Notation

x = 0.4, x = - 3

Solution steps

5 x^{2} + 14 x = x + 6

Move

6

to the left side

5 x^{2} + 14 x - 6 = x

Move

x

to the left side

5 x^{2} + 13 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

1 3^{2} - 4 \cdot 5 (- 6) = 17

x_{1, 2} = \frac{- 13 \pm 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 13 + 17}{2 \cdot 5}, x_{2} = \frac{- 13 - 17}{2 \cdot 5}

x = \frac{- 13 + 17}{2 \cdot 5} : \frac{2}{5}

x = \frac{- 13 - 17}{2 \cdot 5} : - 3

The solutions to the quadratic equation are:

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

x, x^{2} (y^{2} - 4) = 4

x, 4 y^{2} + 10 x^{2} - 2 y + 5 = 0

4 x^{2} + 48 x - 25 = 0

x^{2} - \frac{5}{2} x - \frac{39}{16} = 0

x, x^{2} + z^{2} + 4 - y^{2} = 4

What are the solutions to the equation 5x^2+14x=x+6 ?
The solutions to the equation 5x^2+14x=x+6 are x= 2/5 ,x=-3
Find the zeros of 5x^2+14x=x+6
The zeros of 5x^2+14x=x+6 are x= 2/5 ,x=-3