What are the solutions to the equation factor 6x^2-x-12=0 ?

The solutions to the equation factor 6x^2-x-12=0 are x=-4/3 ,x= 3/2

Find the zeros of factor 6x^2-x-12=0

The zeros of factor 6x^2-x-12=0 are x=-4/3 ,x= 3/2

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

x = - \frac{4}{3}, x = \frac{3}{2}

Decimal Notation

x = - 1.33333 \dots, x = 1.5

Solution steps

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

Factor

6 x^{2} - x - 12 : (3 x + 4) (2 x - 3)

(3 x + 4) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 4 = 0 or 2 x - 3 = 0

Solve

3 x + 4 = 0 : x = - \frac{4}{3}

Solve

2 x - 3 = 0 : x = \frac{3}{2}

The solutions to the quadratic equation are:

x = - \frac{4}{3}, x = \frac{3}{2}

x^{2} = 12 + x

3 (2 x - 3)^{2} - 33 = - 3

12 x^{2} - 8 x + 1 = 0

x^{2} + 8 x + 20

x, x^{2} + 2 x + 1 - m (x)^{2} = 0

What are the solutions to the equation factor 6x^2-x-12=0 ?
The solutions to the equation factor 6x^2-x-12=0 are x=-4/3 ,x= 3/2
Find the zeros of factor 6x^2-x-12=0
The zeros of factor 6x^2-x-12=0 are x=-4/3 ,x= 3/2