factorize 6x²-30x+24
Answers
Answer:
Simplifying
6x2 + 30x + 24 = 0
Reorder the terms:
24 + 30x + 6x2 = 0
Solving
24 + 30x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '6'.
6(4 + 5x + x2) = 0
Factor a trinomial.
6((4 + x)(1 + x)) = 0
Ignore the factor 6.
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 + x)' equal to zero and attempt to solve:
Simplifying
1 + x = 0
Solving
1 + x = 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 + x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1
Combine like terms: 0 + -1 = -1
x = -1
Simplifying
x = -1