Question

12x2 + 28x + 8 solve by factorization method ​

Answer 1

Answer:

x = {-2, -0.3333333333}

Step-by-step explanation:

Simplifying

12x2 + 28x + 8 = 0

Reorder the terms:

8 + 28x + 12x2 = 0

Solving

8 + 28x + 12x2 = 0

Solving for variable 'x'.

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

4(2 + 7x + 3x2) = 0

Factor a trinomial.

4((2 + x)(1 + 3x)) = 0

Ignore the factor 4.

Subproblem 1

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

Simplifying

2 + x = 0

Solving

2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + x = 0 + -2

x = 0 + -2

Combine like terms: 0 + -2 = -2

x = -2

Simplifying

x = -2

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying

1 + 3x = 0

Solving

1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + 3x = 0 + -1

3x = 0 + -1

Combine like terms: 0 + -1 = -1

3x = -1

Divide each side by '3'.

x = -0.3333333333

Simplifying

x = -0.3333333333

Solution

x = {-2, -0.3333333333}