3(2x-1)=2x(4x+1)

Simple and best practice solution for 3(2x-1)=2x(4x+1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(2x-1)=2x(4x+1) equation: 


Simplifying
3(2x + -1) = 2x(4x + 1)

Reorder the terms:
3(-1 + 2x) = 2x(4x + 1)
(-1 * 3 + 2x * 3) = 2x(4x + 1)
(-3 + 6x) = 2x(4x + 1)

Reorder the terms:
-3 + 6x = 2x(1 + 4x)
-3 + 6x = (1 * 2x + 4x * 2x)
-3 + 6x = (2x + 8x2)

Solving
-3 + 6x = 2x + 8x2

Solving for variable 'x'.

Combine like terms: 6x + -2x = 4x
-3 + 4x + -8x2 = 2x + 8x2 + -2x + -8x2

Reorder the terms:
-3 + 4x + -8x2 = 2x + -2x + 8x2 + -8x2

Combine like terms: 2x + -2x = 0
-3 + 4x + -8x2 = 0 + 8x2 + -8x2
-3 + 4x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-3 + 4x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
0.375 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -0.5x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -0.5x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -0.5x + x2 = 0 + -0.375
-0.5x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-0.5x + x2 = -0.375

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.375 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.375 + 0.0625

Combine like terms: -0.375 + 0.0625 = -0.3125
0.0625 + -0.5x + x2 = -0.3125

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.3125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4x-(9+3x)=8x-1 | | 2(-7x+6)=-16 | | s^2=4s-32 | | 2(3x+4)=4(2x+6) | | x-3(2)=x+2(3) | | 9x-1=4x-46 | | 2(x-4)=3(x+1) | | 2x^3+5x^2-17x-20=0 | | 1/3-1/6= | | 8-4x=3(5-x) | | 27000+1500x-20x^2=45000 | | (3x+5)(x-6)=8 | | Rx+Sy=T | | 5b^2-9b-2= | | 1x+2x=28 | | -14x+5= | | -2(6w-2)+2w=-2(w+3) | | 4+6x+9x=3x | | 3w-12w=-54 | | 11-45=3(x-5)-4 | | -x+7=2x+25 | | 7-7x=(4x+9)(x+1) | | 30000+1700x-20x^2=56000 | | 13x+8+8x=9x+22 | | 4y+7=2(2y+5)+37 | | 17-x=2x-1 | | 2.4=1.2x-3 | | 5x-2x+20=x+50 | | -5-7=7x+4-6x | | x^4+2x^3-7x^2-8x+12=0 | | 7(v-1)-1=-4(-7v+1)-3v | | 20-8p=2(p+3)-3p |

Equations solver categories