What are the solutions to the equation -3x^2-35x-189=13x ?

The solutions to the equation -3x^2-35x-189=13x are x=-9,x=-7

Find the zeros of -3x^2-35x-189=13x

The zeros of -3x^2-35x-189=13x are x=-9,x=-7

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- 3 x^{2} - 35 x - 189 = 13 x

x = - 9, x = - 7

Solution steps

- 3 x^{2} - 35 x - 189 = 13 x

Move

13 x

to the left side

- 3 x^{2} - 48 x - 189 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 ( - 3 ) ( - 189 )}{2 ( - 3 )}

(- 48)^{2} - 4 (- 3) (- 189) = 6

x_{1, 2} = \frac{- ( - 48 ) \pm 6}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 48 ) + 6}{2 ( - 3 )}, x_{2} = \frac{- ( - 48 ) - 6}{2 ( - 3 )}

x = \frac{- ( - 48 ) + 6}{2 ( - 3 )} : - 9

x = \frac{- ( - 48 ) - 6}{2 ( - 3 )} : - 7

The solutions to the quadratic equation are:

x = - 9, x = - 7

5 (x + 9)^{2} = 90

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

(x - 5)^{2} = 13

S = \frac{n ( n + 1 )}{2}, n

(2 p - 11) (p + 5) = 0

What are the solutions to the equation -3x^2-35x-189=13x ?
The solutions to the equation -3x^2-35x-189=13x are x=-9,x=-7
Find the zeros of -3x^2-35x-189=13x
The zeros of -3x^2-35x-189=13x are x=-9,x=-7