12x2 + 28x + 8 solve by factorization method
Answers
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}