What are the solutions to the equation x(5x+12)=9 ?

The solutions to the equation x(5x+12)=9 are x= 3/5 ,x=-3

Find the zeros of x(5x+12)=9

The zeros of x(5x+12)=9 are x= 3/5 ,x=-3

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x (5 x + 12) = 9

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

Solution steps

x (5 x + 12) = 9

Expand

x (5 x + 12) : 5 x^{2} + 12 x

5 x^{2} + 12 x = 9

Move

9

to the left side

5 x^{2} + 12 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 5 ( - 9 )}{2 \cdot 5}

1 2^{2} - 4 \cdot 5 (- 9) = 18

x_{1, 2} = \frac{- 12 \pm 18}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 12 + 18}{2 \cdot 5}, x_{2} = \frac{- 12 - 18}{2 \cdot 5}

x = \frac{- 12 + 18}{2 \cdot 5} : \frac{3}{5}

x = \frac{- 12 - 18}{2 \cdot 5} : - 3

The solutions to the quadratic equation are:

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

- 2.2 + 0.3 z = 3 - 0.5 z - 0.8 z

2 k + 6 < 5 k - 3

∣ 3 x + 4 ∣ > 6

\frac{4 ^{- 5}}{4 ^{- 2}}

5 < 0

What are the solutions to the equation x(5x+12)=9 ?
The solutions to the equation x(5x+12)=9 are x= 3/5 ,x=-3
Find the zeros of x(5x+12)=9
The zeros of x(5x+12)=9 are x= 3/5 ,x=-3