please help he answer this math question. I know the answer, just not how to get it. If you could please help me explain each step I would be most appreciative.

2x^{2}+2x=60

solve for x

you should get two answers.

FieryJade122
Feb 16, 2018

#1**+1 **

Solve for x:

2 x^2 + 2 x = 60

Divide both sides by 2:

x^2 + x = 30

Add 1/4 to both sides:

x^2 + x + 1/4 = 121/4

Write the left hand side as a square:

(x + 1/2)^2 = 121/4

Take the square root of both sides:

x + 1/2 = 11/2 or x + 1/2 = -11/2

Subtract 1/2 from both sides:

x = 5 or x + 1/2 = -11/2

Subtract 1/2 from both sides:

**x = 5 or x = -6**

Guest Feb 16, 2018

#3**+1 **

An alternative method you can use especially if you are familiar with factoring quadratic trinomials is the following

moving on from x^{2 }+ x = 30 you move the 30 across to the left hand side

x^{2 }+ x - 30 = 0

then (x+6)(x-5) = 0

conclusion : if 2 factors multiply to give 0 then either can be 0

ie x+6 =0 or x-5=0

therefore x=-6 or x=5

Guest Feb 16, 2018