x2 - 3|x - 2| - 4x = - 6
Answers
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2-3*(x-2)-4*x-(-6)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(((x2) - 3 • (x - 2)) - 4x) - -6 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring x2-7x+12
The first term is, x2 its coefficient is 1 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is +12
Step-1 : Multiply the coefficient of the first term by the constant 1 • 12 = 12
Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is -7 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -3
x2 - 4x - 3x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
3 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-4)
Which is the desired factorization
Equation at the end of step