SOLUTION: please help with this last one. Solve the quadratic equation by factoring 2x^2 = 19x + 33 thanks

Question 43454This question is from textbook college algebra
: please help with this last one.
Solve the quadratic equation by factoring
2x^2 = 19x + 33
thanks This question is from textbook college algebra

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve by factoring:
Rewrite in standard form.

The factors will be in the form: (2x+a)(x+b)
Look at the first term and determine that the obvious factors are:

Now look at the last (constant) term and determine the factors (a and b) of -33.
The choices are:
(a)(b)
(-1)(33) = -33
(1)(-33) = -33
(3)(-11) = -33
(-3)(11) = -33
Choose the pair from the above list such that: 2b+a = -19 which is the coefficient of the middle term of the rewritten quadratic equation.
The obvious choice is: a = 3 and b = -11 since 2(-11) + 3 = -22 + 3 = -19
Now you can write the factors of your quadratic equation:
Now you can solve the quadratic equation.
Apply the zero products principle.
and/or
If then and
If then
The roots are:

RELATED QUESTIONS
Please help me solve the quadratic equation 3x^2+19x-14=0 using the quadratic... (answered by jim_thompson5910)

Please help with this: Solve each equation by factoring. {{{ 2x^2-7x+5=0... (answered by vidhyak,checkley71)

Using the quadratic equation x3 - 4x + 3 = 0 1. Solve by factoring 2. Solve by... (answered by bmauger)

I need help with this equation. The problem is use factoring to solve the equation.... (answered by Earlsdon)

please help. Solve the following mathematically a. 3=4ln(x-2)= 11 b. log(13x-1)-... (answered by Alan3354)

Please help me! Solve by factoring 7x^2=19x. So i got to changing this to 7x^2-19x but... (answered by ReadingBoosters)

Please help me solve the equation below by factoring. Kindly show the complete solution.... (answered by greenestamps)

Please help me solve the quadratic equation by factoring: 6y^2 - 54 =... (answered by jsmallt9)

Please solve this quadratic equation by completing the square and factoring: 2m^2 + 5m (answered by jim_thompson5910)