Question

factorise 4 x power 2 + 28 x + 13 ​

Answer 1

Answer:

Refer to the attachment for the answer

Answer 2

Step-by-step explanation:

Simplifying

4x2 + 28x + 13 = 0

Reorder the terms:

13 + 28x + 4x2 = 0

Solving

13 + 28x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(13 + 2x)(1 + 2x) = 0

Subproblem 1

Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying

13 + 2x = 0

Solving

13 + 2x = 0

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

Add '-13' to each side of the equation.

13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 2x = 0 + -13

2x = 0 + -13

Combine like terms: 0 + -13 = -13

2x = -13

Divide each side by '2'.

x = -6.5

Simplifying

x = -6.5

Subproblem 2

Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying

1 + 2x = 0

Solving

1 + 2x = 0

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

Add '-1' to each side of the equation.

1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + 2x = 0 + -1

2x = 0 + -1

Combine like terms: 0 + -1 = -1

2x = -1

Divide each side by '2'.

x = -0.5

Simplifying

x = -0.5

Solution

x = {-6.5, -0.5}