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

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

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

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

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3 x (x - 2) = - 7

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

Solution steps

3 x (x - 2) = - 7

Expand

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

3 x^{2} - 6 x = - 7

Move

7

to the left side

3 x^{2} - 6 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

Simplify

(- 6)^{2} - 4 \cdot 3 \cdot 7 : 43 i

x_{1, 2} = \frac{- ( - 6 ) \pm 4 3 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 3 i}{2 \cdot 3}, x_{2} = \frac{- ( - 6 ) - 4 3 i}{2 \cdot 3}

x = \frac{- ( - 6 ) + 4 3 i}{2 \cdot 3} : 1 + i \frac{2 3}{3}

x = \frac{- ( - 6 ) - 4 3 i}{2 \cdot 3} : 1 - i \frac{2 3}{3}

The solutions to the quadratic equation are:

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

x^{2} - 7 x - 3

3 v^{2} + 17 v + 17 = - 2

X^{2} = 49

5 x^{2} = 100 x

3 x^{2} + 7 = - 8 x + 3

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