What are the solutions to the equation -5x^2-6x=-1+2x ?

The solutions to the equation -5x^2-6x=-1+2x are x=-(4+sqrt(21))/5 ,x=(sqrt(21)-4)/5

Find the zeros of -5x^2-6x=-1+2x

The zeros of -5x^2-6x=-1+2x are x=-(4+sqrt(21))/5 ,x=(sqrt(21)-4)/5

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- 5 x^{2} - 6 x = - 1 + 2 x

x = - \frac{4 + 21}{5}, x = \frac{21 - 4}{5}

Decimal Notation

x = - 1.71651 \dots, x = 0.11651 \dots

Solution steps

- 5 x^{2} - 6 x = - 1 + 2 x

Move

2 x

to the left side

- 5 x^{2} - 8 x = - 1

Move

1

to the left side

- 5 x^{2} - 8 x + 1 = 0

Solve with the quadratic formula

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

(- 8)^{2} - 4 (- 5) \cdot 1 = 221

x_{1, 2} = \frac{- ( - 8 ) \pm 2 21}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 21}{2 ( - 5 )}, x_{2} = \frac{- ( - 8 ) - 2 21}{2 ( - 5 )}

x = \frac{- ( - 8 ) + 2 21}{2 ( - 5 )} : - \frac{4 + 21}{5}

x = \frac{- ( - 8 ) - 2 21}{2 ( - 5 )} : \frac{21 - 4}{5}

The solutions to the quadratic equation are:

x = - \frac{4 + 21}{5}, x = \frac{21 - 4}{5}

- 2 x^{2} + 72 = 0

6 x^{2} + 36 x - 42 = 0

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

(x - 5) (5 x + 2) = 0

- 10 n^{2} - 3 n - 9 = - 2 n

What are the solutions to the equation -5x^2-6x=-1+2x ?
The solutions to the equation -5x^2-6x=-1+2x are x=-(4+sqrt(21))/5 ,x=(sqrt(21)-4)/5
Find the zeros of -5x^2-6x=-1+2x
The zeros of -5x^2-6x=-1+2x are x=-(4+sqrt(21))/5 ,x=(sqrt(21)-4)/5