What are the solutions to the equation 3x^2+2x=-3x+5 ?

The solutions to the equation 3x^2+2x=-3x+5 are x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6

Find the zeros of 3x^2+2x=-3x+5

The zeros of 3x^2+2x=-3x+5 are x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6

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

x = \frac{- 5 + 85}{6}, x = \frac{- 5 - 85}{6}

Decimal Notation

x = 0.70325 \dots, x = - 2.36992 \dots

Solution steps

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

Move

5

to the left side

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

Move

3 x

to the left side

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

Solve with the quadratic formula

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

5^{2} - 4 \cdot 3 (- 5) = 85

x_{1, 2} = \frac{- 5 \pm 85}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 5 + 85}{2 \cdot 3}, x_{2} = \frac{- 5 - 85}{2 \cdot 3}

x = \frac{- 5 + 85}{2 \cdot 3} : \frac{- 5 + 85}{6}

x = \frac{- 5 - 85}{2 \cdot 3} : \frac{- 5 - 85}{6}

The solutions to the quadratic equation are:

x = \frac{- 5 + 85}{6}, x = \frac{- 5 - 85}{6}

8 y^{2} - 16 y = 0

g (n) = n^{2} + 2, g (3)

x^{2} - (a - 2) x - 2 a^{2} + 5 a - 3 = 0

x^{2} - 6 x - 3 = 0

x^{2} - 2 x - 35

What are the solutions to the equation 3x^2+2x=-3x+5 ?
The solutions to the equation 3x^2+2x=-3x+5 are x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6
Find the zeros of 3x^2+2x=-3x+5
The zeros of 3x^2+2x=-3x+5 are x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6