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

The solutions to the equation 5x^2+6x=-2 are x=-3/5+i 1/5 ,x=-3/5-i 1/5

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

The zeros of 5x^2+6x=-2 are x=-3/5+i 1/5 ,x=-3/5-i 1/5

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

x = - \frac{3}{5} + i \frac{1}{5}, x = - \frac{3}{5} - i \frac{1}{5}

Solution steps

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

Move

2

to the left side

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

Solve with the quadratic formula

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

Simplify

6^{2} - 4 \cdot 5 \cdot 2 : 2 i

x_{1, 2} = \frac{- 6 \pm 2 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 6 + 2 i}{2 \cdot 5}, x_{2} = \frac{- 6 - 2 i}{2 \cdot 5}

x = \frac{- 6 + 2 i}{2 \cdot 5} : - \frac{3}{5} + i \frac{1}{5}

x = \frac{- 6 - 2 i}{2 \cdot 5} : - \frac{3}{5} - i \frac{1}{5}

The solutions to the quadratic equation are:

x = - \frac{3}{5} + i \frac{1}{5}, x = - \frac{3}{5} - i \frac{1}{5}

x^{3} + 6 x^{2} - 19 x - 24

5 x^{2} + 20 x + 32 = 0

2 x^{2} - 7 x + 3

m^{2} - 12 m + 36

x^{3} - 5 x^{2} - 14 x \geq 0

What are the solutions to the equation 5x^2+6x=-2 ?
The solutions to the equation 5x^2+6x=-2 are x=-3/5+i 1/5 ,x=-3/5-i 1/5
Find the zeros of 5x^2+6x=-2
The zeros of 5x^2+6x=-2 are x=-3/5+i 1/5 ,x=-3/5-i 1/5