# Algebra

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factor by grouping: 3X^2 + 7X -6 ? Please walk me through this

• Algebra -

3x^2 + 7x-6
(X+3)(3x-2)

• Algebra -

3x^2 + 7x - 6

multiply the first and last coefficients
3(-6) = -18
factors of -18 that add up to 7
+9 and -2
(9)(-2) = -18 and 9 - 2 = 7

so replace the middle term of 7x with -2x + 9x
3x^2 - 2x + 9x -6
group as
(3x^2 - 2x) + (9x-6)
now factor each group
x(3x-2) + 3(3x-2)
= (3x-2)(x+3)

• Algebra -

x=2/3 and x=-3

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