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# solve by factoring

3x^2+17x-46=

could have two answer I think

Is this expression equal to zero?

### 3 Answers by Expert Tutors

Gary W. | Experienced Tutor--Taught K up to College level classesExperienced Tutor--Taught K up to Colleg...
4.9 4.9 (225 lesson ratings) (225)
1
3x2+17x-46=
3x2-6x+23x-46=
3x(x-2)+23(x-2)=
(3x+23)(x-2)
William S. | Experienced scientist, mathematician and instructor - WilliamExperienced scientist, mathematician and...
4.4 4.4 (10 lesson ratings) (10)
1
Dear David,

3x2 + 17x - 46 = (x - 2)(3x + 23)

If the original expression is equal to 0, then the two solutions are x = 2 and x = -7 and two thirds.
James H. | Math Tutor and Educational ConsultantMath Tutor and Educational Consultant
5.0 5.0 (43 lesson ratings) (43)
0
I will presume that the expression is equal to zero.

Solve by factoring:          3x2 + 17x - 46 = 0

Factor:                          (3x + 23) (x - 2) = 0

Set equal to zero:            3x + 23 = 0  and x - 2 = 0

Solve:                             x = -23/3, 2

Note, check by plugging the two answers into the original equation.  The -23/3 answer is a pain to check, but it did check out in the end.  It's good advanced arithmatic practice!