Solve for x : 3x – 2 = 8x – 12
Answers
Answer:
Step-by-step explanation:
3x2-8x-12=0
Two solutions were found :
x =(8-√208)/6=(4-2√ 13 )/3= -1.070
x =(8+√208)/6=(4+2√ 13 )/3= 3.737
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3x2 - 8x) - 12 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 3x2-8x-12
The first term is, 3x2 its coefficient is 3 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 2 :
3x2 - 8x - 12 = 0
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Answer:
x=2
Step-by-step explanation:
3x-2=8x-12
12-2=8x-3x
10=5x
10/5=x
2=x