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axx+bx+c 2xx+7x+6
a=2
b=7
c=6
Multiply a and c:
2*6=12
Find multiples of ac that add up to b (d,e [ie de=ac, d+e=b]):
12=2*2*3
12=4*3, -4*-3
12=6*2, -6*-2
Rewrite axx+bx+c into axx+dx+ex+c:
2xx+7x+6
2xx+4x+3x+6
Factor sets of terms (ie axx+dx, and ex+c):
2xx+4x+3x+6
2x(x+2)+3(x+2)
Combine like terms:
2x(x+2)+3(x+2)
(x+2)(2x+3)
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Continue Learning about Algebra
X2 plus 7x equals -2x2 plus 6?
x2+7x=-2x2+6 3x2+7x-6=0 (3x-2)(x+3)=0 3x-2=0 or x+3=0 x=2/3 or x=-3
How do you factor x2 plus 7x plus 6?
x2 + 7x + 6 = (x + 6) (x + 1)
How do you solve -7x plus 6 plus 7x-2?
-7x + 6 + 7x - 2 = 4
What is 4x to the second power plus 14x plus 12?
4x2 + 14x + 12 = 2(2x2 + 7x + 6) = 2(2x + 3)(x + 2)
How do you factor -2x2 5x 42?
-((2x + 7)(x - 6))
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