What are the solutions to the equation -2x^2-29x-14=-5x ?

The solutions to the equation -2x^2-29x-14=-5x are x=-6-sqrt(29),x=-6+sqrt(29)

Find the zeros of -2x^2-29x-14=-5x

The zeros of -2x^2-29x-14=-5x are x=-6-sqrt(29),x=-6+sqrt(29)

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- 2 x^{2} - 29 x - 14 = - 5 x

x = - 6 - 29, x = - 6 + 29

Decimal Notation

x = - 11.38516 \dots, x = - 0.61483 \dots

Solution steps

- 2 x^{2} - 29 x - 14 = - 5 x

Move

5 x

to the left side

- 2 x^{2} - 24 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 ( - 2 ) ( - 14 )}{2 ( - 2 )}

(- 24)^{2} - 4 (- 2) (- 14) = 429

x_{1, 2} = \frac{- ( - 24 ) \pm 4 29}{2 ( - 2 )}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 4 29}{2 ( - 2 )}, x_{2} = \frac{- ( - 24 ) - 4 29}{2 ( - 2 )}

x = \frac{- ( - 24 ) + 4 29}{2 ( - 2 )} : - 6 - 29

x = \frac{- ( - 24 ) - 4 29}{2 ( - 2 )} : - 6 + 29

The solutions to the quadratic equation are:

x = - 6 - 29, x = - 6 + 29

2 = y + 6 y^{2}

x^{2} + 20 x + 9 = 0

x^{2} + 9^{2} = 1 8^{2}

(3 x + 2)^{2} = 0

x^{2} + 25 = 16

What are the solutions to the equation -2x^2-29x-14=-5x ?
The solutions to the equation -2x^2-29x-14=-5x are x=-6-sqrt(29),x=-6+sqrt(29)
Find the zeros of -2x^2-29x-14=-5x
The zeros of -2x^2-29x-14=-5x are x=-6-sqrt(29),x=-6+sqrt(29)