What are the solutions to the equation -5x-4=-6x^2 ?

The solutions to the equation -5x-4=-6x^2 are x=-1/2 ,x= 4/3

Find the zeros of -5x-4=-6x^2

The zeros of -5x-4=-6x^2 are x=-1/2 ,x= 4/3

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- 5 x - 4 = - 6 x^{2}

x = - \frac{1}{2}, x = \frac{4}{3}

Solution steps

- 5 x - 4 = - 6 x^{2}

Switch sides

- 6 x^{2} = - 5 x - 4

Move

4

to the left side

- 6 x^{2} + 4 = - 5 x

Move

5 x

to the left side

- 6 x^{2} + 4 + 5 x = 0

Write in the standard form

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

- 6 x^{2} + 5 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 6 ) \cdot 4}{2 ( - 6 )}

5^{2} - 4 (- 6) \cdot 4 = 11

x_{1, 2} = \frac{- 5 \pm 11}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 5 + 11}{2 ( - 6 )}, x_{2} = \frac{- 5 - 11}{2 ( - 6 )}

x = \frac{- 5 + 11}{2 ( - 6 )} : - \frac{1}{2}

x = \frac{- 5 - 11}{2 ( - 6 )} : \frac{4}{3}

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = \frac{4}{3}

y^{2} - 2 y = 8

2 x^{2} + 20 x + 48 = 0

x^{2} - 10 = - 18

18 x^{2} - 72 = 0

x^{2} - 3 + 2 = 0

What are the solutions to the equation -5x-4=-6x^2 ?
The solutions to the equation -5x-4=-6x^2 are x=-1/2 ,x= 4/3
Find the zeros of -5x-4=-6x^2
The zeros of -5x-4=-6x^2 are x=-1/2 ,x= 4/3