What are the solutions to the equation solvefor x,3x^2=-8x-5 ?

The solutions to the equation solvefor x,3x^2=-8x-5 are x=-1,x=-5/3

Find the zeros of solvefor x,3x^2=-8x-5

The zeros of solvefor x,3x^2=-8x-5 are x=-1,x=-5/3

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x, 3 x^{2} = - 8 x - 5

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

Solution steps

3 x^{2} = - 8 x - 5

Move

5

to the left side

3 x^{2} + 5 = - 8 x

Move

8 x

to the left side

3 x^{2} + 5 + 8 x = 0

Write in the standard form

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

3 x^{2} + 8 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

8^{2} - 4 \cdot 3 \cdot 5 = 2

x_{1, 2} = \frac{- 8 \pm 2}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 2}{2 \cdot 3}, x_{2} = \frac{- 8 - 2}{2 \cdot 3}

x = \frac{- 8 + 2}{2 \cdot 3} : - 1

x = \frac{- 8 - 2}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

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

4 x^{2} + 145 = 4 x

(r - 5)^{2} = 40

2 x^{2} - x - 10 = 0

2 x^{2} + 7 x + 6 = 0

x^{2} + 3 x + 30 = 0

What are the solutions to the equation solvefor x,3x^2=-8x-5 ?
The solutions to the equation solvefor x,3x^2=-8x-5 are x=-1,x=-5/3
Find the zeros of solvefor x,3x^2=-8x-5
The zeros of solvefor x,3x^2=-8x-5 are x=-1,x=-5/3