What are the solutions to the equation 2x^2+54=-24x ?

The solutions to the equation 2x^2+54=-24x are x=-3,x=-9

Find the zeros of 2x^2+54=-24x

The zeros of 2x^2+54=-24x are x=-3,x=-9

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2 x^{2} + 54 = - 24 x

x = - 3, x = - 9

Solution steps

2 x^{2} + 54 = - 24 x

Move

24 x

to the left side

2 x^{2} + 54 + 24 x = 0

Write in the standard form

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

2 x^{2} + 24 x + 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 2 \cdot 54}{2 \cdot 2}

2 4^{2} - 4 \cdot 2 \cdot 54 = 12

x_{1, 2} = \frac{- 24 \pm 12}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 24 + 12}{2 \cdot 2}, x_{2} = \frac{- 24 - 12}{2 \cdot 2}

x = \frac{- 24 + 12}{2 \cdot 2} : - 3

x = \frac{- 24 - 12}{2 \cdot 2} : - 9

The solutions to the quadratic equation are:

x = - 3, x = - 9

(x - 4) (x - 3) + 2 = x - 1

\frac{x ^{2} - 1}{6} - \frac{x - 1}{4} = 3

2 (x - 8)^{2} - 35 = 7

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

w, 30 w = 9 w^{2} + 25

What are the solutions to the equation 2x^2+54=-24x ?
The solutions to the equation 2x^2+54=-24x are x=-3,x=-9
Find the zeros of 2x^2+54=-24x
The zeros of 2x^2+54=-24x are x=-3,x=-9