What are the solutions to the equation 2x(x+3)-7=4x-6 ?

The solutions to the equation 2x(x+3)-7=4x-6 are x=(-1+sqrt(3))/2 ,x=-(1+sqrt(3))/2

Find the zeros of 2x(x+3)-7=4x-6

The zeros of 2x(x+3)-7=4x-6 are x=(-1+sqrt(3))/2 ,x=-(1+sqrt(3))/2

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2 x (x + 3) - 7 = 4 x - 6

x = \frac{- 1 + 3}{2}, x = - \frac{1 + 3}{2}

Solution steps

2 x (x + 3) - 7 = 4 x - 6

Expand

2 x (x + 3) - 7 : 2 x^{2} + 6 x - 7

2 x^{2} + 6 x - 7 = 4 x - 6

Move

6

to the left side

2 x^{2} + 6 x - 1 = 4 x

Move

4 x

to the left side

2 x^{2} + 2 x - 1 = 0

Solve with the quadratic formula

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

2^{2} - 4 \cdot 2 (- 1) = 23

x_{1, 2} = \frac{- 2 \pm 2 3}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 2 + 2 3}{2 \cdot 2}, x_{2} = \frac{- 2 - 2 3}{2 \cdot 2}

x = \frac{- 2 + 2 3}{2 \cdot 2} : \frac{- 1 + 3}{2}

x = \frac{- 2 - 2 3}{2 \cdot 2} : - \frac{1 + 3}{2}

The solutions to the quadratic equation are:

x = \frac{- 1 + 3}{2}, x = - \frac{1 + 3}{2}

17 \cdot 2

x^{2} + 10 x + 21 = 0

\frac{x}{300} + \frac{x}{700} = 1

\frac{x}{12} \geq - 3

- \frac{4}{6}

What are the solutions to the equation 2x(x+3)-7=4x-6 ?
The solutions to the equation 2x(x+3)-7=4x-6 are x=(-1+sqrt(3))/2 ,x=-(1+sqrt(3))/2
Find the zeros of 2x(x+3)-7=4x-6
The zeros of 2x(x+3)-7=4x-6 are x=(-1+sqrt(3))/2 ,x=-(1+sqrt(3))/2