What are the solutions to the equation 9x^2+16=-24x ?

The solutions to the equation 9x^2+16=-24x are x=-4/3

Find the zeros of 9x^2+16=-24x

The zeros of 9x^2+16=-24x are x=-4/3

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

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

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

Move

24 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 9 \cdot 16}{2 \cdot 9}

2 4^{2} - 4 \cdot 9 \cdot 16 = 0

x_{1, 2} = \frac{- 24 \pm 0}{2 \cdot 9}

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

\frac{- 24}{2 \cdot 9} = - \frac{4}{3}

x = - \frac{4}{3}

The solution to the quadratic equation is:

x = - \frac{4}{3}

2 = x^{2} + x

x^{2} = 16 x - 63

2 x^{2} - 10 x + 13 = 0

x^{2} = 2.25

x^{2} + 4 m = - 2 (m - 3)

What are the solutions to the equation 9x^2+16=-24x ?
The solutions to the equation 9x^2+16=-24x are x=-4/3
Find the zeros of 9x^2+16=-24x
The zeros of 9x^2+16=-24x are x=-4/3