What are the solutions to the equation 2(x^2+2)=-9x ?

The solutions to the equation 2(x^2+2)=-9x are x=-1/2 ,x=-4

Find the zeros of 2(x^2+2)=-9x

The zeros of 2(x^2+2)=-9x are x=-1/2 ,x=-4

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2 (x^{2} + 2) = - 9 x

x = - \frac{1}{2}, x = - 4

Decimal Notation

x = - 0.5, x = - 4

Solution steps

2 (x^{2} + 2) = - 9 x

Expand

2 (x^{2} + 2) : 2 x^{2} + 4

2 x^{2} + 4 = - 9 x

Move

9 x

to the left side

2 x^{2} + 4 + 9 x = 0

Write in the standard form

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

2 x^{2} + 9 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 2 \cdot 4}{2 \cdot 2}

9^{2} - 4 \cdot 2 \cdot 4 = 7

x_{1, 2} = \frac{- 9 \pm 7}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 9 + 7}{2 \cdot 2}, x_{2} = \frac{- 9 - 7}{2 \cdot 2}

x = \frac{- 9 + 7}{2 \cdot 2} : - \frac{1}{2}

x = \frac{- 9 - 7}{2 \cdot 2} : - 4

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = - 4

3 x (x - 2) = 5

x, f (x + 3) = x^{2} + 3 x + 5

(p + 8)^{2} = 144

4 d^{2} - 5 d - 3 = 2 d

(x + 7) (x - 4) = 0

What are the solutions to the equation 2(x^2+2)=-9x ?
The solutions to the equation 2(x^2+2)=-9x are x=-1/2 ,x=-4
Find the zeros of 2(x^2+2)=-9x
The zeros of 2(x^2+2)=-9x are x=-1/2 ,x=-4