What are the solutions to the equation 14x+15x^2=8 ?

The solutions to the equation 14x+15x^2=8 are x= 2/5 ,x=-4/3

Find the zeros of 14x+15x^2=8

The zeros of 14x+15x^2=8 are x= 2/5 ,x=-4/3

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14 x + 15 x^{2} = 8

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

Decimal

x = 0.4, x = - 1.33333 \dots

Solution steps

14 x + 15 x^{2} = 8

Move

8

to the left side

14 x + 15 x^{2} - 8 = 0

Write in the standard form

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

15 x^{2} + 14 x - 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 15 ( - 8 )}{2 \cdot 15}

1 4^{2} - 4 \cdot 15 (- 8) = 26

x_{1, 2} = \frac{- 14 \pm 26}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 14 + 26}{2 \cdot 15}, x_{2} = \frac{- 14 - 26}{2 \cdot 15}

x = \frac{- 14 + 26}{2 \cdot 15} : \frac{2}{5}

x = \frac{- 14 - 26}{2 \cdot 15} : - \frac{4}{3}

The solutions to the quadratic equation are:

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

5 x^{2} + 11 x = 12

100 = x (20 - x)

0 = (x + 2)^{2} + 1

54 x + 3 x^{2} + 243 = 0

x^{2} \cdot 56 = 25

What are the solutions to the equation 14x+15x^2=8 ?
The solutions to the equation 14x+15x^2=8 are x= 2/5 ,x=-4/3
Find the zeros of 14x+15x^2=8
The zeros of 14x+15x^2=8 are x= 2/5 ,x=-4/3