What are the solutions to the equation -5x(x+6)-10=10 ?

The solutions to the equation -5x(x+6)-10=10 are x=-3-sqrt(5),x=-3+sqrt(5)

Find the zeros of -5x(x+6)-10=10

The zeros of -5x(x+6)-10=10 are x=-3-sqrt(5),x=-3+sqrt(5)

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- 5 x (x + 6) - 10 = 10

x = - 3 - 5, x = - 3 + 5

Decimal

x = - 5.23606 \dots, x = - 0.76393 \dots

Solution steps

- 5 x (x + 6) - 10 = 10

Expand

- 5 x (x + 6) - 10 : - 5 x^{2} - 30 x - 10

- 5 x^{2} - 30 x - 10 = 10

Move

10

to the left side

- 5 x^{2} - 30 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 ( - 5 ) ( - 20 )}{2 ( - 5 )}

(- 30)^{2} - 4 (- 5) (- 20) = 105

x_{1, 2} = \frac{- ( - 30 ) \pm 10 5}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10 5}{2 ( - 5 )}, x_{2} = \frac{- ( - 30 ) - 10 5}{2 ( - 5 )}

x = \frac{- ( - 30 ) + 10 5}{2 ( - 5 )} : - 3 - 5

x = \frac{- ( - 30 ) - 10 5}{2 ( - 5 )} : - 3 + 5

The solutions to the quadratic equation are:

x = - 3 - 5, x = - 3 + 5

6 x^{2} = 16 x - 8

x^{2} + 23 x + 2 = 0

0.36 x^{2} + 10.236 x + 18.2 = 0

- 2 x^{2} = - 10

6 v^{2} + 18 v = 0

What are the solutions to the equation -5x(x+6)-10=10 ?
The solutions to the equation -5x(x+6)-10=10 are x=-3-sqrt(5),x=-3+sqrt(5)
Find the zeros of -5x(x+6)-10=10
The zeros of -5x(x+6)-10=10 are x=-3-sqrt(5),x=-3+sqrt(5)