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

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

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

The zeros of 6x(x-2)=-2(x-2) are x=2,x=-1/3

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6 x (x - 2) = - 2 (x - 2)

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

Decimal Notation

x = 2, x = - 0.33333 \dots

Solution steps

6 x (x - 2) = - 2 (x - 2)

Move

2 (x - 2)

to the left side

6 x (x - 2) + 2 (x - 2) = 0

Factor

6 x (x - 2) + 2 (x - 2) : 2 (x - 2) (3 x + 1)

2 (x - 2) (3 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or 3 x + 1 = 0

Solve

x - 2 = 0 : x = 2

Solve

3 x + 1 = 0 : x = - \frac{1}{3}

The solutions to the quadratic equation are:

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

x^{2} + 8 x + 7 = 0

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

y, e^{x} y + x^{2} e^{- x} = y^{2}

(2 x + 3) (x + 4) = x

x^{2} - 20 x - 99 = 0

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