Factor by Grouping 36x^2+30x-36

36×2+30x-36
Factor out the GCF of 6 from 36×2+30x-36.
Factor out the GCF of 6 from each term in the polynomial.
Factor out the GCF of 6 from the expression 36×2.
6(6×2)+30x-36
Factor out the GCF of 6 from the expression 30x.
6(6×2)+6(5x)-36
Factor out the GCF of 6 from the expression -36.
6(6×2)+6(5x)+6(-6)
6(6×2)+6(5x)+6(-6)
Since all the terms share a common factor of 6, it can be factored out of each term.
6(6×2+5x-6)
6(6×2+5x-6)
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅-6=-36 and whose sum is b=5.
Factor 5 out of 5x.
6(6×2+5(x)-6)
Rewrite 5 as -4 plus 9
6(6×2+(-4+9)x-6)
Apply the distributive property.
6(6×2-4x+9x-6)
6(6×2-4x+9x-6)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
6((6×2-4x)+9x-6)
Factor out the greatest common factor (GCF) from each group.
6(2x(3x-2)+3(3x-2))
6(2x(3x-2)+3(3x-2))
Factor the polynomial by factoring out the greatest common factor, 3x-2.
6((3x-2)(2x+3))
6((3x-2)(2x+3))
Factor by Grouping 36x^2+30x-36