What are the solutions to the equation 8x^2+22x=-15 ?

The solutions to the equation 8x^2+22x=-15 are x=-5/4 ,x=-3/2

Find the zeros of 8x^2+22x=-15

The zeros of 8x^2+22x=-15 are x=-5/4 ,x=-3/2

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8 x^{2} + 22 x = - 15

x = - \frac{5}{4}, x = - \frac{3}{2}

Decimal Notation

x = - 1.25, x = - 1.5

Solution steps

8 x^{2} + 22 x = - 15

Move

15

to the left side

8 x^{2} + 22 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 22 \pm 2 2 ^{2} - 4 \cdot 8 \cdot 15}{2 \cdot 8}

2 2^{2} - 4 \cdot 8 \cdot 15 = 2

x_{1, 2} = \frac{- 22 \pm 2}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- 22 + 2}{2 \cdot 8}, x_{2} = \frac{- 22 - 2}{2 \cdot 8}

x = \frac{- 22 + 2}{2 \cdot 8} : - \frac{5}{4}

x = \frac{- 22 - 2}{2 \cdot 8} : - \frac{3}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{4}, x = - \frac{3}{2}

x, 1 = x^{2} + y

8^{2} = a^{2} - 6^{2}

x, 0 = 0.81 x^{2} - 11.78 x + 13.52

5 w^{2} - 10 w = 0

8 x^{2} + 12 x = 8

What are the solutions to the equation 8x^2+22x=-15 ?
The solutions to the equation 8x^2+22x=-15 are x=-5/4 ,x=-3/2
Find the zeros of 8x^2+22x=-15
The zeros of 8x^2+22x=-15 are x=-5/4 ,x=-3/2