What are the solutions to the equation factor 3x^2+1=-25x-7 ?

The solutions to the equation factor 3x^2+1=-25x-7 are x=-1/3 ,x=-8

Find the zeros of factor 3x^2+1=-25x-7

The zeros of factor 3x^2+1=-25x-7 are x=-1/3 ,x=-8

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3 x^{2} + 1 = - 25 x - 7

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

Decimal Notation

x = - 0.33333 \dots, x = - 8

Solution steps

3 x^{2} + 1 = - 25 x - 7

Move

7

to the left side

3 x^{2} + 8 = - 25 x

Move

25 x

to the left side

3 x^{2} + 8 + 25 x = 0

Write in the standard form

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

3 x^{2} + 25 x + 8 = 0

Factor

3 x^{2} + 25 x + 8 : (3 x + 1) (x + 8)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 8 = 0 : x = - 8

The solutions to the quadratic equation are:

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

x, a^{2} x^{2} + (a y - a) x = 2 + 2 y

5 x^{2} - 10 x + 8 = 0

2 x^{2} - 1

4 x^{2} - 16 x + 16 = 16 x - 32

24 x^{2} - 4 x - 4 = 12

What are the solutions to the equation factor 3x^2+1=-25x-7 ?
The solutions to the equation factor 3x^2+1=-25x-7 are x=-1/3 ,x=-8
Find the zeros of factor 3x^2+1=-25x-7
The zeros of factor 3x^2+1=-25x-7 are x=-1/3 ,x=-8