What are the solutions to the equation x(5x+2)=3 ?

The solutions to the equation x(5x+2)=3 are x= 3/5 ,x=-1

Find the zeros of x(5x+2)=3

The zeros of x(5x+2)=3 are x= 3/5 ,x=-1

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x (5 x + 2) = 3

x = \frac{3}{5}, x = - 1

Decimal Notation

x = 0.6, x = - 1

Solution steps

x (5 x + 2) = 3

Expand

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

5 x^{2} + 2 x = 3

Move

3

to the left side

5 x^{2} + 2 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

2^{2} - 4 \cdot 5 (- 3) = 8

x_{1, 2} = \frac{- 2 \pm 8}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 2 + 8}{2 \cdot 5}, x_{2} = \frac{- 2 - 8}{2 \cdot 5}

x = \frac{- 2 + 8}{2 \cdot 5} : \frac{3}{5}

x = \frac{- 2 - 8}{2 \cdot 5} : - 1

The solutions to the quadratic equation are:

x = \frac{3}{5}, x = - 1

\frac{x - 5}{4} = 8

- 210 + (- 17) - 73

- 1 \leq \frac{1}{4} x + 1 < 0

4 a^{2} - 12 ab + 9 b^{2}

∣ x - 2 ∣ > 10 + 3 x

What are the solutions to the equation x(5x+2)=3 ?
The solutions to the equation x(5x+2)=3 are x= 3/5 ,x=-1
Find the zeros of x(5x+2)=3
The zeros of x(5x+2)=3 are x= 3/5 ,x=-1