What are the solutions to the equation 5x^2+13x=-6 ?

The solutions to the equation 5x^2+13x=-6 are x=-3/5 ,x=-2

Find the zeros of 5x^2+13x=-6

The zeros of 5x^2+13x=-6 are x=-3/5 ,x=-2

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

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

Decimal Notation

x = - 0.6, x = - 2

Solution steps

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

Move

6

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 \cdot 6}{2 \cdot 5}

1 3^{2} - 4 \cdot 5 \cdot 6 = 7

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

a^{2} - x^{2} + 4 x - 1

1 = 3 x^{2} - 2

x (x + 8) - 4 (5 x + 7) = 0

x, 4 x^{2} - 3 y^{2} + 12 z^{2} + 12 = 0

0 = - 4 x^{2} - 16 x - 12

What are the solutions to the equation 5x^2+13x=-6 ?
The solutions to the equation 5x^2+13x=-6 are x=-3/5 ,x=-2
Find the zeros of 5x^2+13x=-6
The zeros of 5x^2+13x=-6 are x=-3/5 ,x=-2