# How do you solve # 6x^2=4x #?

##### 2 Answers

#### Explanation:

**OR**

**OR**

Alternately:

**Case 1: #x=0#**

Then,

And,

Left side = right side

**Equation holds.**

**Case 2: #x!=0#**

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#