How do you solve # 6x^2=4x #?
2 Answers
Explanation:
Alternately:
Case 1:
Then,
And,
Left side = right side
Case 2:
Divide both sides by
Divide both sides by 6 and simplify:
Answer:
Explanation:
Note: This equation is that of a 2nd degree polynomial or quadratic equation. To solve quadratic equation we must set it equation to zero first.
Step 1: Set the equation equal to zero by subtract
#6x^2 = 4x#
#6x^2 - 4x = 0#
Step 2: Factor out the greatest common factor of GCF like this
#2*3*x *x- 2*2*x= 0 #
#2x(3x-2) = 0#
#2x= 0# # " " " and # #3x-2= 0 #
Step 3: Then solve for
#(2x)/2 = 0/2 #
#x= 0#
or
#3x-2 + 2 = 0+2#
#3x = 2#
#(3x)/3 = 2/3 #
#x= 2/3#