What are the solutions to the equation factor 6x^2-13x-8=0 ?

The solutions to the equation factor 6x^2-13x-8=0 are x=-1/2 ,x= 8/3

Find the zeros of factor 6x^2-13x-8=0

The zeros of factor 6x^2-13x-8=0 are x=-1/2 ,x= 8/3

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6 x^{2} - 13 x - 8 = 0

x = - \frac{1}{2}, x = \frac{8}{3}

Decimal

x = - 0.5, x = 2.66666 \dots

Solution steps

6 x^{2} - 13 x - 8 = 0

Factor

6 x^{2} - 13 x - 8 : (2 x + 1) (3 x - 8)

(2 x + 1) (3 x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 1 = 0 or 3 x - 8 = 0

Solve

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

Solve

3 x - 8 = 0 : x = \frac{8}{3}

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = \frac{8}{3}

4 x^{2} - 4 x - 3 = 2

x^{2} - 1 = - 4 x

x^{2} + 2 x - 32 = 0

42 + 12 x^{2} = 0

x^{2} + 12 x - 14 = 0

What are the solutions to the equation factor 6x^2-13x-8=0 ?
The solutions to the equation factor 6x^2-13x-8=0 are x=-1/2 ,x= 8/3
Find the zeros of factor 6x^2-13x-8=0
The zeros of factor 6x^2-13x-8=0 are x=-1/2 ,x= 8/3