What are the solutions to the equation x(4x+6)=4 ?

The solutions to the equation x(4x+6)=4 are x= 1/2 ,x=-2

Find the zeros of x(4x+6)=4

The zeros of x(4x+6)=4 are x= 1/2 ,x=-2

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x (4 x + 6) = 4

x = \frac{1}{2}, x = - 2

Solution steps

x (4 x + 6) = 4

Expand

x (4 x + 6) : 4 x^{2} + 6 x

4 x^{2} + 6 x = 4

Move

4

to the left side

4 x^{2} + 6 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 4 ( - 4 )}{2 \cdot 4}

6^{2} - 4 \cdot 4 (- 4) = 10

x_{1, 2} = \frac{- 6 \pm 10}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 6 + 10}{2 \cdot 4}, x_{2} = \frac{- 6 - 10}{2 \cdot 4}

x = \frac{- 6 + 10}{2 \cdot 4} : \frac{1}{2}

x = \frac{- 6 - 10}{2 \cdot 4} : - 2

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - 2

(\frac{9}{4})^{- 2}

3 x^{2} = 15 x

\frac{x}{7} - 5 = - 8

2 x^{2} - 238 c - 20064

7 x - 3 = 4 x + 5

What are the solutions to the equation x(4x+6)=4 ?
The solutions to the equation x(4x+6)=4 are x= 1/2 ,x=-2
Find the zeros of x(4x+6)=4
The zeros of x(4x+6)=4 are x= 1/2 ,x=-2