Algebra please help?

Question

solving by factoring???

2x(exponent of 2 above the X) + 9x= 35

i have to solve it using the squares., please help me =(

Answer 1

Problem: 2x^2+9x=35

Represent the exponent of 2 above the X as x^2

This poblem can be written as: 2x^2+9x-35 = 0

to factor look at the factors of the first term first:

(2x-?)(x+?)

Then look at the factors of the second term: 35=7*5

Place 7 and 5 in the (?) so you can get the middle term of 9 by multilying and adding with the factors of 2 and 1 from  the first term.

7*2-5*1

Inserting: (2x-5)(x+7)=0

This becomes two equations to solve:

2x-5=0 and x+7=0

2x=5, x=5/2 and x= -7 are the solutions.

Answer 2

answer is (2x - 5)(x + 7). x=5/2 x= -7