Factor out the greatest common factor. 28 x squared plus 8 x

4x (7x + 2)

Step-by-step explanation:

28x^2 + 8x =

= 2 * 2 * 7 * x * x + 2 * 2 * 2 * x

The common factors are shown above in bold. They are 2, 2, x.

2 * 2 * x = 4x. The greatest common factor is 4x. You factor 4x out of both terms.

= 4x (7x + 2)

Simplifying

28x^2 + 8x = 0

Reorder the terms:

8x + 28x^2 = 0

Solving

8x + 28x^2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.

4x (2 + 7x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor ' (2 + 7x) ' equal to zero and attempt to solve:

Simplifying

2 + 7x = 0

Solving

2 + 7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + - 2 + 7x = 0 + - 2

Combine like terms: 2 + - 2 = 0

0 + 7x = 0 + - 2

7x = 0 + - 2

Combine like terms: 0 + - 2 = - 2

7x = - 2

Divide each side by '7'.

x = - 0.2857142857

Simplifying

x = - 0.2857142857

Solution

x = {0, - 0.2857142857}