What are the solutions to the equation 2(x^2-6)=-2x ?

The solutions to the equation 2(x^2-6)=-2x are x=2,x=-3

Find the zeros of 2(x^2-6)=-2x

The zeros of 2(x^2-6)=-2x are x=2,x=-3

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2 (x^{2} - 6) = - 2 x

x = 2, x = - 3

Solution steps

2 (x^{2} - 6) = - 2 x

Expand

2 (x^{2} - 6) : 2 x^{2} - 12

2 x^{2} - 12 = - 2 x

Move

2 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

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

2^{2} - 4 \cdot 2 (- 12) = 10

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

Separate the solutions

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

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

x = \frac{- 2 - 10}{2 \cdot 2} : - 3

The solutions to the quadratic equation are:

x = 2, x = - 3

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

s^{2} + s + 10 = 0

x^{2} - 7 = - 6 x

x, 9 x^{2} + y^{2} + 90 x - 12 y + 261 = 0

6 x^{2} = 48 x

What are the solutions to the equation 2(x^2-6)=-2x ?
The solutions to the equation 2(x^2-6)=-2x are x=2,x=-3
Find the zeros of 2(x^2-6)=-2x
The zeros of 2(x^2-6)=-2x are x=2,x=-3