What are the solutions to the equation 5x^2+24x=-16 ?

The solutions to the equation 5x^2+24x=-16 are x=-4/5 ,x=-4

Find the zeros of 5x^2+24x=-16

The zeros of 5x^2+24x=-16 are x=-4/5 ,x=-4

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5 x^{2} + 24 x = - 16

x = - \frac{4}{5}, x = - 4

Decimal Notation

x = - 0.8, x = - 4

Solution steps

5 x^{2} + 24 x = - 16

Move

16

to the left side

5 x^{2} + 24 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 5 \cdot 16}{2 \cdot 5}

2 4^{2} - 4 \cdot 5 \cdot 16 = 16

x_{1, 2} = \frac{- 24 \pm 16}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 24 + 16}{2 \cdot 5}, x_{2} = \frac{- 24 - 16}{2 \cdot 5}

x = \frac{- 24 + 16}{2 \cdot 5} : - \frac{4}{5}

x = \frac{- 24 - 16}{2 \cdot 5} : - 4

The solutions to the quadratic equation are:

x = - \frac{4}{5}, x = - 4

x, x^{2} - 6 x y + y^{2} = 6

a, an = 2 n^{2} - n

y, y^{2} = x (x - 4)^{2}

7 x^{2} + 6 = 17 x - 5 x^{2}

12 x^{2} - 24 x + 5 = 0

What are the solutions to the equation 5x^2+24x=-16 ?
The solutions to the equation 5x^2+24x=-16 are x=-4/5 ,x=-4
Find the zeros of 5x^2+24x=-16
The zeros of 5x^2+24x=-16 are x=-4/5 ,x=-4