answer of equation
6x^2-26x=-8
Answers
Answer:Simplifying
6x2 + 26x + 8 = 0
Reorder the terms:
8 + 26x + 6x2 = 0
Solving
8 + 26x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 13x + 3x2) = 0
Factor a trinomial.
2((4 + x)(1 + 3x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:
Simplifying
4 + x = 0
Solving
4 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4
Combine like terms: 0 + -4 = -4
x = -4
Simplifying
x = -4
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 = {-4, -0.3333333333}