What are the solutions to the equation factor 72x^2+288x+256=0 ?

The solutions to the equation factor 72x^2+288x+256=0 are x=-4/3 ,x=-8/3

Find the zeros of factor 72x^2+288x+256=0

The zeros of factor 72x^2+288x+256=0 are x=-4/3 ,x=-8/3

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72 x^{2} + 288 x + 256 = 0

x = - \frac{4}{3}, x = - \frac{8}{3}

Decimal Notation

x = - 1.33333 \dots, x = - 2.66666 \dots

Solution steps

72 x^{2} + 288 x + 256 = 0

Factor

72 x^{2} + 288 x + 256 : 8 (3 x + 4) (3 x + 8)

8 (3 x + 4) (3 x + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 4 = 0 or 3 x + 8 = 0

Solve

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

Solve

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

The solutions to the quadratic equation are:

x = - \frac{4}{3}, x = - \frac{8}{3}

x^{2} + 3 x = 0

8 m^{2} + 19 m + 5 = 0

3 x^{2} + 42 x = - 171

2 y^{2} + 9 y + 3 = 4

5 n^{2} - 7 n + 3 = 2

What are the solutions to the equation factor 72x^2+288x+256=0 ?
The solutions to the equation factor 72x^2+288x+256=0 are x=-4/3 ,x=-8/3
Find the zeros of factor 72x^2+288x+256=0
The zeros of factor 72x^2+288x+256=0 are x=-4/3 ,x=-8/3