What are the solutions to the equation 3x^2-5=-14x ?

The solutions to the equation 3x^2-5=-14x are x= 1/3 ,x=-5

Find the zeros of 3x^2-5=-14x

The zeros of 3x^2-5=-14x are x= 1/3 ,x=-5

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3 x^{2} - 5 = - 14 x

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

Solution steps

3 x^{2} - 5 = - 14 x

Move

14 x

to the left side

3 x^{2} - 5 + 14 x = 0

Write in the standard form

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

3 x^{2} + 14 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

1 4^{2} - 4 \cdot 3 (- 5) = 16

x_{1, 2} = \frac{- 14 \pm 16}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 14 + 16}{2 \cdot 3}, x_{2} = \frac{- 14 - 16}{2 \cdot 3}

x = \frac{- 14 + 16}{2 \cdot 3} : \frac{1}{3}

x = \frac{- 14 - 16}{2 \cdot 3} : - 5

The solutions to the quadratic equation are:

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

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

x^{2} + 32 = - 14 x

y, \frac{x ^{3}}{3} + \frac{y ^{2}}{2} - 3 x + 2 y = - \frac{1}{6}

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

4 x^{2} - 8 x - 4 = 0

What are the solutions to the equation 3x^2-5=-14x ?
The solutions to the equation 3x^2-5=-14x are x= 1/3 ,x=-5
Find the zeros of 3x^2-5=-14x
The zeros of 3x^2-5=-14x are x= 1/3 ,x=-5