What are the solutions to the equation factor 6x^2=3x+3 ?

The solutions to the equation factor 6x^2=3x+3 are x=-1/2 ,x=1

Find the zeros of factor 6x^2=3x+3

The zeros of factor 6x^2=3x+3 are x=-1/2 ,x=1

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6 x^{2} = 3 x + 3

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

Decimal Notation

x = - 0.5, x = 1

Solution steps

6 x^{2} = 3 x + 3

Move

3

to the left side

6 x^{2} - 3 = 3 x

Move

3 x

to the left side

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

Write in the standard form

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

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

Factor

6 x^{2} - 3 x - 3 : 3 (2 x + 1) (x - 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

x - 1 = 0 : x = 1

The solutions to the quadratic equation are:

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

x, x^{2} + 2 y^{2} = k^{2}

- 5 x^{2} + 3 = 0

- 2 x^{2} + 7 = - 1

3 x^{2} - 36 x = - 93

m^{2} + 8 m + 5 = 0

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