What are the solutions to the equation 3x^2+10x=8 ?

The solutions to the equation 3x^2+10x=8 are x= 2/3 ,x=-4

Find the zeros of 3x^2+10x=8

The zeros of 3x^2+10x=8 are x= 2/3 ,x=-4

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3 x^{2} + 10 x = 8

x = \frac{2}{3}, x = - 4

Decimal Notation

x = 0.66666 \dots, x = - 4

Solution steps

3 x^{2} + 10 x = 8

Move

8

to the left side

3 x^{2} + 10 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 3 ( - 8 )}{2 \cdot 3}

1 0^{2} - 4 \cdot 3 (- 8) = 14

x_{1, 2} = \frac{- 10 \pm 14}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 10 + 14}{2 \cdot 3}, x_{2} = \frac{- 10 - 14}{2 \cdot 3}

x = \frac{- 10 + 14}{2 \cdot 3} : \frac{2}{3}

x = \frac{- 10 - 14}{2 \cdot 3} : - 4

The solutions to the quadratic equation are:

x = \frac{2}{3}, x = - 4

6 + 11 (x + 2) + x = 8 (x + 1)

- 2 X = - 12

- \frac{5}{2} < x < \frac{6}{5}

4147

\frac{x}{2 - x} > 0

What are the solutions to the equation 3x^2+10x=8 ?
The solutions to the equation 3x^2+10x=8 are x= 2/3 ,x=-4
Find the zeros of 3x^2+10x=8
The zeros of 3x^2+10x=8 are x= 2/3 ,x=-4