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

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

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

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

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

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

Decimal Notation

x = - 0.66666 \dots, x = - 1.5

Solution steps

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

Move

13 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- 13 \pm 5}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 13 + 5}{2 \cdot 6}, x_{2} = \frac{- 13 - 5}{2 \cdot 6}

x = \frac{- 13 + 5}{2 \cdot 6} : - \frac{2}{3}

x = \frac{- 13 - 5}{2 \cdot 6} : - \frac{3}{2}

The solutions to the quadratic equation are:

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

2 x^{2} + 7 x - 30 = 64 (x + 6)

6 x^{2} + 9 x - 16 = 0

a^{2} - 8 a = - 15

10 x^{2} + 20 x = 0

30 = 0.000006 x^{2} - 0.02 x + 25

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