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Starting Equation
Equation must be in this form to start solving:
ax^2+bx+c=0 -
First Step
Move c to the other side
x^2+6-7=0
+7 +7 -
Move c to other side
Now:
x^2+6x=7 -
Divide the b term by 2
b=6
6/2=3 -
Sqare the b term
Now:
b=3^2
b=9 -
Add that value to both sides
x^2+6x(+9)= 7(+9) -
Create a Perfect Square Trinomial
Perfect Square: x^2+6x+9= Perfect Square: 16 -
Factor the left side of equation
=x^2+6x+9
=(x+3)(x+3)
=(x+3)^2 -
Square Root both sides
SR(x+3)^2=SR(16)
x+3=+/-(4) -
Add/Subract to find Answers
x=3+/-(4)
x=3+4
x=7
x=3-4
x= -1